D4.2.9-12C3 FrameworkSocial StudiesCommunicating and Taking ActionGrades 9-12
D4.2.9-12: Constructing Explanations Judged by Their Purpose
In plain English: D4.2.9-12 is the C3 Framework inquiry indicator for grades 9-12 that asks students to construct explanations with sound reasoning, correct linear or non-linear sequence, examples, and significant data, while judging the explanation's strengths and weaknesses given its purpose, such as cause and effect, chronological, procedural or technical.
Construct explanations using sound reasoning, correct sequence (linear or non-linear), examples, and details with significant and pertinent information and data, while acknowledging the strengths and weaknesses of the explanation given its purpose (e.g., cause and effect, chronological, procedural, technical).
C3 Framework for Social Studies (NCSS) · Dimension 4: Communicating Conclusions and Taking Informed Action · Communicating and Critiquing Conclusions · Official standard
Students construct explanations with sound reasoning, a correct sequence (linear or non-linear), examples, and significant and pertinent information and data, and they judge each explanation's strengths and weaknesses given its purpose: cause and effect, chronological, procedural or technical. The same facts make a strong explanation for one purpose and a weak one for another, and students learn to say which.
The vehicle is the 1890 United States census, the first counted with Herman Hollerith's electric tabulating machines. The sources are the Census Bureau's own history pages, Hollerith's 1889 case for his invention, and an 1891 account in an electrical journal that also reports the critics who doubted the count and the clerks, many of them women, who ran the machines. The topic serves the skill: the four purposes apply just as well to explaining a court ruling, a migration or a market crash.
Learning Objectives
By the end of this lesson, students will be able to:
Construct cause-and-effect, chronological, procedural and technical explanations of the same event with sound reasoning
Choose a linear or non-linear sequence and keep every event in its true order
Select examples and data that are significant and pertinent to the question, and check numbers across sources
Judge the strengths and weaknesses of an explanation given its purpose, including the position and stake of each source
Prior Knowledge Required
Students should already be comfortable with:
Constructing explanations with reasoning, sequence, examples and data at the middle school level D4.2.6-8
Constructing arguments from multiple sources and acknowledging their strengths and limitations D4.1.9-12
Evaluating various explanations for actions or events against textual evidence RH.11-12.3
"Your school switched from paper report cards to an online grade portal. Write one sentence that explains why it switched, one that explains when each step happened, and one that explains how a teacher enters a grade. Which sentence would a parent want, and which would a new teacher want?"
Collect one sentence of each kind. Name the purposes they serve: cause and effect (why), chronological (when, in order), procedural (the steps a person follows) and technical (how a device or system works). Introduce the indicator: a strong explanation is judged against its purpose, so a perfect timeline can still be a weak answer to a why question.
Direct Instruction25-30 minutes
Part 1: The question and the sources. How did the Census Office count about 62 million people in 1890, and why did it change its methods? Sources 1-3 are the Census Bureau's history pages, revised in 2024. Source 4 is Hollerith's 1889 article, written to present his system before the count. Sources 5 and 6 come from an 1891 article by Thomas Commerford Martin in The Electrical Engineer, an electrical journal; he visited the Census Office and openly favored the machines.
Source Information: who made each source, when, and what stake the maker had (from the sources themselves)
Source
Maker and position
When
Stake or limit to keep in mind
1: Early Census Processing
Census Bureau History Office
Page revised 2024
The agency describing its own past
2: The Hollerith Machine
Census Bureau History Office
Page revised 2024
Gives contest results in hours without naming the two rivals
3: Tabulation and Processing
Census Bureau History Office
Page revised 2024
Gives no figures for its claims about schedule and budget
4: An Electric Tabulating System
Herman Hollerith, the inventor
1889, before the count
Describes his own invention; predictions, not results
5 and 6: Counting a Nation by Electricity
T. C. Martin, writing in an electrical journal after visiting the Census Office
1891, during the tabulation
A supporter who quotes the critics only briefly
Part 2: Read the sources. Students read in a jigsaw: one group per source pair (1 and 3, 2, 4, 5 and 6), then regroup to share. Terms: tabulate (count answers into tables), schedules (the census forms), enumerator (the person who collected the answers), pantograph (a hand punch that copied a hole pattern onto a card), mercury (a liquid metal that carries electric current), dwelling house count (the first count of households and persons), expeditious (fast and efficient).
How the texts were prepared: Sources 1-3 are copied from census.gov; Sources 4-6 are typed exactly from the page scans of the 1889 and 1891 printings, and [...] marks every place where words are left out. In Source 5, "tabulasing" is the 1891 printer's misprint for tabulating; Hunt and Pidgin were the two rival entrants; Martin describes their plans in a part of his article not printed here.
1Census officials have struggled to quickly and accurately process and tabulate census information since the first enumeration. From the 1790 census until the 1840 census, enumerators (in those days, assistant U.S. Marshals) collected information about the population in household units. Members of households were tallied based on their age, gender, and race. Clerks then hand-counted the tallies on each questionnaire sheet for each demographic category.
2In 1850, census forms began collecting information on individuals. As the census form became more complicated, tallying census results became increasingly difficult. Census clerks still tabulated census data by hand, but began using increasingly complicated "tally sheets" to keep track of running totals for both enumeration districts and demographic traits.
3In 1872, Chief Clerk of the Census Charles Seaton invented a simple machine that made tabulating census data easier by keeping the lines on large tallying sheets isolated and organized. The Census Office purchased Seaton's device and used it to finish the 1870 census. Seaton served as superintendent of the 1880 census, during which his device was used again.
4Even with the Seaton device, the 1880 census took nearly the entire decade to tabulate and publish. Census data had become too extensive to be effectively counted by hand. Luckily, a technological advancement in data processing was on the horizon.
U.S. Census Bureau, History Office, Early Census Processing and the Seaton Device (Source 1: the Census Bureau's history of counting by hand) (2024). US government work (17 U.S.C. 105). Source text.
1Following the 1880 census, the Census Bureau was collecting more data than it could tabulate. As a result, the agency held a competition in 1888 to find a more efficient method to process and tabulate data. Contestants were asked to process 1880 census data from four areas in St Louis, MO. Whoever captured and processed the data fastest would win a contract for the 1890 census.
2Three contestants accepted the Census Bureau's challenge. The first two contestants captured the data in 144.5 hours and 100.5 hours. The third contestant, a former Census Bureau employee named Herman Hollerith, completed the data capture process in 72.5 hours.
3Next, the contestants had to prove that their designs could prepare data for tabulation (i.e., by age category, race, gender, etc.). Two contestants required 44.5 hours and 55.5 hours. Hollerith astounded Census Bureau officials by completing the task in just 5.5 hours!
4Herman Hollerith's impressive results earned him the contract to process and tabulate 1890 census data. Modified versions of his technology would continue to be used at the Census Bureau until replaced by computers in the 1950s.
[...]
5Herman Hollerith's tabulator consisted of electrically-operated components that captured and processed census data by "reading" holes on paper punch cards. The primary components of the system are explained below.
6To begin tabulating data, census information had to be transferred from the census schedules to paper punch cards using gang punches and pantographs. Using this equipment, Census Bureau clerks "punched" each card to represent specific data on the census schedule.
7Census Bureau clerks using pantographs could prepare approximately 500 cards per day. To operate the mechanism, the operator positioned the punching stylus over the desired hole in a punch card template. Each hole in the template corresponded to a specific demographic category. Pressing the stylus into the template created a punched hole in the paper card that was read by the Hollerith tabulator's card reader.
8Each Hollerith tabulator was equipped with a card reading station. The manually-operated card reader consisted of two hinged plates operated by a lever (similar to a waffle iron). Clerks opened the reader and positioned a punched card between the plates. Upon closing the plates, spring-loaded metal pins in the upper plate passed through the punched data holes in the cards, through the bottom plate, and into wells of mercury beneath. Pins that passed through the punch card completed an electrical circuit when contacting the mercury below. The completed circuit energized the magnetic dials on the Hollerith tabulator and advanced the counting hands. Upon completion of the electrical circuit (signaled by the ringing of a bell), the clerk transcribed the data indicated by the dial hands.
9The 1890 Hollerith tabulators consisted of 40 data-recording dials. Each dial represented a different data item collected during the census. The electrical impulses received as the reader's pins passed through the card into the mercury advanced the hands on the dials corresponding to the data contained on the punch card (i.e., responses to inquiries about race, gender, citizenship, age, etc). When the bell signaled the card had been read, the operator recorded the data on the dials, opened the card reader, removed the punch cards, and reset the dials.
10A sorting table was positioned next to each tabulator. After registering the punch card data on the dials, the sorter specified which drawer the operator should place the card. The clerk opened the reader, placed the punch card in the designated sorter drawer, reset the dials, and positioned a new card to repeat the process.
U.S. Census Bureau, History Office, The Hollerith Machine (Source 2: the Census Bureau on the contest of methods and how the 1890 tabulator worked) (2024). US government work (17 U.S.C. 105). Source text.
1Herman Hollerith, a former Census Office employee himself, invented a much more effective counting machine. His machine used specially encoded punch cards, each representing an individual's census data. The cards were fed into the counting machine, where the punched holes allowed metal pins to complete an electric circuit. When a circuit was completed, the dial for the corresponding trait would go up. Hollerith's device revolutionized census tabulation. The Census Office leased a fleet of the machines for the 1890 census count, which finished months ahead of schedule and far under budget. In 1896, Hollerith founded the Tabulating Machine Company. Almost twenty years later, after several mergers and management changes, this company became the International Business Machines (IBM) Corporation.
2After Hollerith raised the rental prices for his machines to an intolerably high level for the 1900 census, the newly formed Census Bureau decided to create replacements in-house. Census Bureau employees, led by James Legrand Powers, developed a new electric tabulation machine. The new device, with an automatic feeder and card sorter, was an improvement over the machines that Hollerith was offering. In 1911, Powers, who held the patent for the machine that he had designed, left the Census Bureau to found the Powers Accounting Machine Company. Powers's enterprise was soon the most successful automatic tabulation company on the market; it later became part of the Remington Rand Corporation in 1927.
U.S. Census Bureau, History Office, Tabulation and Processing (Source 3: the Census Bureau on Hollerith's machines, 1890-1911) (2024). US government work (17 U.S.C. 105). Source text.
1Few, who have not come directly in contact with a census office, can form any adequate idea of the labor involved in the compilation of a census of 50,000,000 persons, as was the case in the last census, or of over 62,000,000, as will be the case in the census to be taken in June, 1890. The fact, however, that Congress at its last session in “An Act to provide for the taking of the eleventh and subsequent censuses,” fixes the maximum cost of the next or eleventh census, exclusive of printing and engraving, at $6,400,000, will perhaps impress one with some idea of the magnitude of such an undertaking.
[...]
2To form some idea of the questions involved in the first plan, let us assume that the record relating to each person at the next census be written in a line across a strip of paper, and that such lines are exactly one-half inch apart, it would then take a strip of paper over 500 miles long to contain such records. These must be gone over, again and again, until all the desired combinations have been obtained. This is practically the method followed in compiling the tenth census. On the other hand, if written cards are to be used the prospect is hardly more encouraging. One hundred comparatively thin cards will form a stack over an inch high. In the next census, therefore, if such cards are to be used it will require a stack over ten miles high. Imagine for a moment the trouble and confusion which would be caused by a few such cards becoming misplaced. This method of individual cards was employed in the census of Massachusetts for 1885. The 2,000,000 cards there used weighed about 14 tons. Were the same cards to be used in the next United States census it would require about 450 tons of such cards.
[...]
3Two of the most important elements, in almost all statistical compilations, are “time” and “accuracy.” The rapidity with which results could be obtained with the present method, in a census, for example, would be dependent upon: 1st, the rate at which a clerk could punch the record-cards, and, 2d, the number of clerks employed upon this part of the work. The first can readily be determined by experiment, when the second becomes merely a simple arithmetical computation. The work of counting or tabulating on the machines can be so arranged that, within a few hours after the last card is punched, the first set of tables, including condensed grouping of all the leading statistical facts, would be complete. The rapidity with which subsequent tables could be published would depend merely upon the number of machines employed.
4In regard to accuracy, it is apparent that the processes of counting and sorting, being purely mechanical, can be arranged, with such checks, that an error is practically impossible. The one possible source of error is in the punching of the cards. If proper precautions are here taken, a census practically free from errors of compilation could be obtained. Even in this respect the present method would have manifest advantages. A card wrongly punched could involve an error of only a single unit, while by all previous methods single errors involving an error in the result of tens, of hundreds, of thousands, or even more, are possible.
Herman Hollerith, An Electric Tabulating System (Source 4: Herman Hollerith's own case for his machine, written before the 1890 count) (1889). Public domain (published 1889). Source text.
1These three methods were now put to the test, four enumeration districts of the Census of 1880 in the city of St. Louis being taken. It was found that the time occupied in transcribing their contents by the Hollerith method was 72h. 27m.; by the Hunt method, 144h. 25m.; by the Pidgin method, 110h. 56m. The time occupied in tabulasing was found to be as follows: Hollerith’s electrical counters, 5h. 28m.; by the Hunt slips, 55h. 22m.; by the Pidgin chips, 44h. 41m. This settled it. The commission also estimated that on a basis of 65,000,000 population, the saving with the Hollerith apparatus would reach nearly $600,000. As a matter of fact, as the saving was based on an estimate of 500 cards punched per day, while 700 is the average, the saving is 40 per cent. more than was expected. It is needless to add that Mr. Hollerith’s invention was adopted, and that an arrangement was entered into by the Government with its inventor.
2[...] The statement by Mr. Porter that the population of this great republic was only 62,622,250 sent into spasms of indignation a great many people who had made up their minds that the dignity of the republic could only be supported on a total of 75,000,000. Hence there was a howl, not of “deep-mouthed welcome,” but of frantic disappointment. And then the publication of the figures of New York! [...]
3It is needless to say that in all this hurly-burly of discussion over the Census and its figures, the electrical counting system came in for its share of abuse. Just why it would not work was never made clearly apparent, for all that appeared in print derogatory to the mechanism merely went to prove its wonderful simplicity and inability to go wrong. [...]
[...]
4[...] The expertness acquired in manipulating the Hollerith machines may be inferred from the fact that some of the women tabulators thus counted as many as 50,000 persons a day, or the inhabitants of a good-sized city. The average for the women tabulators, who worked in the day time, was about 47,950 each; while the men tabulators, handicapped perhaps by coming on at night, averaged 32,935.
5In this ingenious and expeditious manner, thanks to the Hollerith machines, the first, or “Dwelling House” count of the whole population of the United States as it stood on June 1, 1890, was made. Practically only six weeks were needed for the gigantic task. The announcements from the Census Office as to population of various sections followed each other rapidly, and a “rough count” for the whole country was ready as early as October 30, 1890. The last returns did not reach Mr. Porter until November 10, but he was able to issue his celebrated bulletin, giving the “official count” of 62,622,250, exactly a month later, namely, on December 12. Yet all the figures had been thoroughly checked; in reality, the people of the United States had been counted twice over. As Mr. Porter put it at a dinner given by the chiefs of the Census Office to celebrate the occasion, “For the first time in the history of the world, the count of the population of a great nation has been made by the aid of electricity” and every single one of our 62 millions “had marched as it were under the vision of the young men and women who had done such remarkable work with such extraordinary rapidity and precision.”
Thomas Commerford Martin, The Electrical Engineer, Counting a Nation by Electricity, part 1 (Source 5: an electrical journal's account of the contest, the critics and the count, 1891) (1891). Public domain (published 1891). Source text.
Part 3: One event, four purposes. Work through the examples. Each one builds a short explanation for one purpose, then the fifth judges them against each other.
Cause and effect: why a new method was needed (Source 1, paragraphs 2 and 4; Source 4, paragraph 2)
Explain why hand tallying could no longer keep up by 1890.
Result: From 1850 the forms recorded information on individuals, so the tally sheets grew more complicated (Source 1, paragraph 2); even with the Seaton device, the 1880 census "took nearly the entire decade to tabulate and publish" (paragraph 4). As a result, the next count faced the same problem at a larger size. Hollerith adds pertinent data: one line per person on paper strips would run "over 500 miles," and cards like those of the 1885 Massachusetts census would weigh "about 450 tons" (Source 4, paragraph 2). The reasoning is sound, but the tons figure comes from the inventor making his case, so it should be cited as his estimate.
Chronological: the order of events, 1872-1911 (Sources 1, 3 and 5)
Put the main events in order with their dates.
Result: 1872: Seaton's device, first used for the 1870 census (Source 1, paragraph 3). 1880: a census that took nearly the decade to finish (paragraph 4). June 1, 1890: the population is counted "as it stood" on that day (Source 5, paragraph 5). 1896: Hollerith founds the Tabulating Machine Company (Source 3, paragraph 1). Next: he raises his rental prices for the 1900 census, so the newly formed Census Bureau builds its own machines, and in 1911 Powers leaves to found his company (Source 3, paragraph 2). A timeline like this is strong on order but says little about why each change happened.
Procedural: the steps a clerk followed (Source 2, paragraphs 6-10)
Explain, as a set of steps, how one punched card moved through the system.
Result: A clerk punched the card with a pantograph, one hole for each answer (paragraphs 6-7). At the tabulator, a clerk closed the card reader on the card, the dials advanced, and a bell signaled that the card had been read (paragraphs 8-9). The clerk recorded the dials, put the card in the drawer the sorter named, reset the dials and began the next card (paragraphs 9-10). The sorted drawers then fed the next round of counting, so the sequence is a loop, not a straight line: a non-linear sequence.
Technical: how the machine knew a hole was there (Source 2, paragraph 8)
Explain the mechanism inside the card reader.
Result: Spring-loaded pins in the upper plate pressed down on the card. Where there was a hole, a pin passed through "into wells of mercury beneath" and "completed an electrical circuit"; the current "energized the magnetic dials" and advanced the counting hands. Where there was no hole, the paper stopped the pin, so no circuit was closed and nothing was counted. The explanation is technical because it shows how the device works, not who used it or why it was chosen.
Strengths and weaknesses given purpose (Examples 1-4)
Which of the four explanations best answers the question "Why did the Census Office change its methods?"
Result: Only the cause-and-effect explanation answers why. The chronological one is strong for showing what came before what, but weak for a why question because it gives no links. The procedural and technical ones are strong for a new clerk or an engineer but weak for this question. A writer should name the purpose first, then judge every part against it.
Guided Practice15 minutes
Groups of four use Diagram 1. Each member takes one purpose and writes a three-sentence explanation of the 1890 count for it, using a different source from the others. The group then answers: Which of our four explanations is strongest for a city official in 1891 who doubts the count, and why? Expect groups to see that the official needs cause and effect plus evidence about accuracy, which no single purpose supplies, and to notice that the critics' own words barely appear in these sources.
Independent Practice15 minutes
Each student writes an explanation (eight to ten sentences) answering Why did the 1890 count go faster than the 1880 count? The student names the purpose first, uses at least one non-linear move (such as opening with the 1890 result and then going back to 1880), cites at least three pieces of significant data from at least two sources, and ends with two sentences: one strength and one weakness of the explanation given its purpose.
Look-fors for the teacher: data that bear directly on speed rather than on cost alone; a sequence that stays true even when it is told out of order; at least one source whose stake is named; and a weakness that comes from the sources, such as the Bureau describing its own success.
Closure10 minutes
Exit ticket: "Name the purpose of your explanation in one word. Then name one fact that would be essential for that purpose but out of place for a different one."
Teacher note on the sources: Martin openly favored the machines, and the critics he answers appear only in the short phrases he quotes; the page has no source written by a critic or by a clerk. Students should treat his descriptions of the critics as one side's summary. His aside that the men tabulators were "handicapped perhaps" by night work is his guess, and his praise of women clerks elsewhere in the article reflects attitudes of 1891. Source 6, the second part of Martin's article, is printed with the homework.
1In one of the newspaper articles appearing recently on the subject, two alleged samples of these complete cards were given in order to show that the “chances of error were largely increased by the mechanical devices employed,” while “there was small possibility of detection.” The funny part about the exposé in question is that both cards lacked the impress of the gang punch, and therefore were not part of the Census record at all. In other words, they were imperfect cards that had been thrown aside by the punchers themselves, and had not even reached the Hollerith electric machines, which would have been as prompt and unerring in their rejection as are bank tellers in casting out false coin. The present writer, while in Washington, asked specially as to imperfect records, and was taken into the little room where cards rejected by the machines were being set right by reference to the original schedules. A glance at the handful of men there, revising the work made by the handling of half a million cards daily, showed the percentage of wrong cards to be very small. [...]
[...]
2It is estimated that each of the machines thus compiles and registers information daily that would require the efforts of 20 clerks if sought by the old system of tally sheets. But that is not all. Added to the ability to secure special details, finer analysis, and the economy in time and labor, we have the greater accuracy. The machine automatically throws out any card that is wrong. Suppose, for instance, that age or sex has not been punched. Where there should be a hole for the plunger pin to go through, closing the circuit, the card is intact. The circuit is open, and the monitor bell just to the left of the press, refuses to give its cheery signal of correctness. It is then a very easy matter to refer back to the schedule stowed away in the old church across the street and fill up the deficiency by the paradoxical process of making a hole. [...]
[...]
3As a few figures were given of the records made with the punching machines, it may be worth while, in passing, to cite some that relate to the tabulation work. It has been stated that at the time of the writer’s visit to the Census Office, 81 clerks had handled 556,346 cards that day, an average of 6,868 each. [...]
Thomas Commerford Martin, The Electrical Engineer, Counting a Nation by Electricity, part 2 (Source 6: Martin on a newspaper's criticism and on how errors were caught, 1891) (1891). Public domain (published 1891). Source text.
Quiz passage. Questions 13-16 of the quiz use Source 7, three invented student explanations. Each is deliberately weak, for students to judge and repair.
1These three explanations were invented for this page. Each was written by an invented student, and each is deliberately weak in at least one way, so that students can judge and repair it.
2Dana's procedural explanation, answering "How did a clerk count one person on an 1890 Hollerith tabulator?": First, the clerk placed the card in the drawer of the sorting table. Then the clerk closed the card reader, so the pins passed through the holes into the mercury. Next, the dials advanced and the bell rang. Finally, the clerk used the pantograph to punch the holes for that person's answers.
3Eli's cause-and-effect explanation, answering "Why did the Census Office choose Hollerith's system for 1890?": The main cause is that Hollerith was a former Census Office employee, so officials already knew and trusted him. After he got the contract, the 1890 count finished months ahead of schedule, which proves that choosing a former employee was the right decision.
4Farah's explanation, answering "Why did the 1890 count go faster than the 1880 count?": In 1872, Charles Seaton invented his device, and it was used for the 1870 and 1880 censuses. The 1880 census took nearly the entire decade to tabulate and publish. Next, three methods were tested on records from St. Louis. In 1890, Hollerith's machines were used. In 1900, Hollerith raised his rental prices.
SVHS (invented scenario written for this page), Three Student Explanations (Source 7: invented student work for the quiz; each is deliberately weak). Original passage written for this page.
Differentiation Strategies
For Struggling Students
Give a four-column organizer, one column per purpose, with the question word for each (why, when, what steps, how it works) printed at the top
Start with Source 2 alone: its paragraphs 6-10 support both the procedural and the technical explanation
Provide the frame: "My purpose is ___. First/Because ___ (Source __). This explanation is strong for ___ but weak for ___ because ___."
For Advanced Students
Write a non-linear explanation that opens with the critics of 1890 and moves back to 1880 and forward to 1900, keeping every event in its true order
Compare Hollerith's 1889 predictions (Source 4, paragraphs 3-4) with Martin's 1891 report, and explain what a prediction can and cannot show
Find the one claim in Sources 1-3 that would need outside evidence before you could rely on it, and say what evidence you would look for
Assessment Guidance
What to Look For
Strong work names its purpose and fits every part to it; uses links that the sources actually support; keeps events in true order even when the telling is non-linear; picks data that bear on the question and cites them; checks a number against a second source where one exists; and judges strengths and weaknesses against the purpose and the stake of each source. Watch for students who answer a why question with a timeline, who treat an inventor's prediction as a result, who repeat the Bureau's praise of itself without noting who is speaking, or who confuse the steps a clerk followed with the way the circuit worked.
02
Classroom Activities
3 Activities
1
Four Purposes, One Machine
20 minGroups of 4 (one purpose each)
Each student writes a four- to five-sentence explanation of the 1890 tabulating system for one purpose: cause and effect, chronological, procedural or technical. The group then reads all four aloud and fills a table: for each explanation, one thing it does well for its purpose and one question it cannot answer. Finally the group decides which explanation would best serve three readers: a census clerk's first day, a member of Congress deciding whether to pay for machines, and a museum visitor.
Rules
Every sentence cites a source and paragraph.
Each writer uses at least one piece of data that is significant for the purpose, not just any number.
The group may not pick the same explanation for all three readers without explaining why.
Answer Key for the Teacher
The clerk's first day is best served by the procedural explanation (Source 2, paragraphs 6-10).
The member of Congress needs cause and effect with data on time and cost (Source 1, paragraph 4; Source 4, paragraphs 1-2; Source 5, paragraph 1), plus a note that the cost estimate came from the commission and the inventor.
The museum visitor can be served by several; groups should defend a choice, often a non-linear one that opens with the 1890 result.
Discussion
Ask: which explanation was hardest to keep within its purpose? Students often find that technical writers slide into procedure (what the clerk did) and chronological writers slide into causes without evidence.
2
Data Audit
15 minPairs
Source 2 (2024) and Source 5 (1891) both report the results of the contest of the three tabulating methods. Pairs build a table of the six times in each source, convert Martin's hours and minutes to decimal hours, and mark every pair of numbers that agree and every pair that does not. Then they write two sentences of an explanation that uses the contest data honestly.
Steps
Copy Source 2's six numbers (paragraphs 2-3) and Source 5's six times (paragraph 1).
Convert each of Martin's times: hours + minutes ÷ 60.
Match each of Source 2's unnamed contestants to Hunt or Pidgin where the numbers allow it.
Decide how a writer should report any number that does not match.
Answer Key for the Teacher
Martin's times in decimal hours: Hollerith 72.45 and 5.47; Hunt 144.42 and 55.37; Pidgin 110.93 and 44.68.
Source 2's 72.5, 144.5, 5.5, 55.5 and 44.5 match these after rounding to the nearest half hour, so the 144.5-hour contestant is Hunt.
Source 2's 100.5 hours does not match Pidgin's 110.93; the two sources differ by more than ten hours. Neither source on this page explains the difference, so a careful writer reports both, or uses the rounded figures that agree.
Source 2 also says clerks could prepare "approximately 500 cards per day"; Martin says 500 was the estimate and 700 was the average. A writer should say which figure is which.
The sources also differ on the date of the contest. Source 2 says the Census Bureau held it in 1888. In a part of his article not printed here, Martin says the commission that ran the test was named after Robert P. Porter became Superintendent of the Census in April 1889, which points to 1889. A writer should give the date with its source, or write "1888 or 1889" and say why.
Variation
Pairs that finish early compute how many times faster Hollerith's tabulating was than each rival's, and write one sentence that uses the result without overstating it.
3
Linear or Non-Linear?
15 minGroups of 3
Groups get six event cards and two audiences: a museum label for visitors (about 80 words) and a one-paragraph briefing for census officials in 1900. Each group writes the museum label in a non-linear sequence and the briefing in a linear one, then judges which order suits which reader and checks that every date stays true in both.
The Six Cards
Card A: The 1880 census takes nearly the whole decade to tabulate and publish (Source 1).
Card B: Three methods are tested on four St. Louis districts from the 1880 census (Sources 2 and 5).
Card C: The population is counted as it stood on June 1, 1890 (Source 5).
Card D: The official count of 62,622,250 is announced on December 12, 1890 (Source 5).
Card E: Hollerith founds the Tabulating Machine Company (Source 3).
Card F: After a rise in rental prices, the Bureau builds its own machines for the 1900s (Source 3).
Answer Key for the Teacher
True order: A, B, C, D, E (1896), F.
A non-linear museum label often opens with D (the result), returns to A and B, and closes with F. It must still date each event correctly.
A linear briefing suits officials who must decide what to do next, because it ends with the newest problem, the rental prices.
Discussion
Ask: when is a non-linear sequence a strength, and when does it confuse a reader? What words ("ten years earlier," "by then") keep a non-linear telling honest?
03
Diagrams & Visual Aids
1 diagrams
Diagram 1: One Event, Four Purposes
Each box shows the question one purpose answers, what it needs, and what it is strong and weak for. The strip below shows the same four events told in a linear sequence (in date order) and a non-linear one (opening with the December 12, 1890 bulletin, then going back and forward). In both, every date stays true; only the order of telling changes.
04
Homework Assignment
~30 min
D4.2.9-12 Homework: How Did the 1890 System Catch Errors, and How Far Can We Trust It?
Directions: Use Source 6 (printed in the Closure section) and Sources 2 and 4 (in the Direct Instruction section). The question for this homework is "How did the 1890 tabulating system catch errors, and how far should we trust the claim that it was nearly free of them?" Cite the source and paragraph for every piece of evidence. You are scored on your reasoning, sequence, evidence and judgment, not on whether you trust the machines.
Part 1: Steps, Reasoning and Data (Problems 1-3)
Sequence: using Source 6, paragraph 2, write the steps that followed when a card reached the machine with age or sex left unpunched. Your sequence should loop back on itself. Explain why a loop, a non-linear sequence, describes this process better than a straight line.
Reasoning: in Source 6, paragraph 1, what did the newspaper claim, and what evidence did it use? What is Martin's answer? Explain whether his answer disproves the newspaper's general claim or only its evidence.
Data: Source 6, paragraph 3, says 81 clerks handled 556,346 cards in one day, "an average of 6,868 each." Check the average. Then explain what this figure shows about the system and one thing it cannot show about accuracy.
Part 2: Sources, Purpose and Your Explanation (Problems 4-6)
Strengths and weaknesses: Hollerith wrote in 1889 that with mechanical counting "an error is practically impossible" (Source 4, paragraph 4), and Martin praised the machines in 1891 (Source 6). Explain one strength and one weakness of relying on these two writers for the homework question. Whose perspective is missing?
Purpose: one student wants to explain how the machine rejected a bad card; another wants to explain why some people doubted the count. Name the purpose each student needs, and say which source on this page is strongest for each purpose and why.
Write an explanation of eight to ten sentences that answers the homework question. Name your purpose in the first sentence, use at least two pieces of data, keep the sequence true, and end with one strength and one weakness of your explanation given its purpose.
Rubric
Criterion
Full Credit (2 pts)
Partial Credit (1 pt)
No Credit (0 pts)
Sound reasoning
Every link is supported by a cited source, and claims are not stretched past the evidence
Some links unsupported or overstated
No links, or links that contradict the sources
Sequence
Steps or events in true order, with a loop or non-linear move used where it fits
Mostly in order, with one error
Out of order
Examples, information and data
Significant, pertinent data and examples, each cited and checked
Data present but partly off the question or unchecked
Missing or wrong
Strengths and weaknesses given purpose
Judges the explanation against its named purpose and the stake of each source
Names a strength or weakness without tying it to purpose
None
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Quiz: 20 Questions
Interactive, with answers
Instructions
Questions 1-12 and 17-20 use Sources 1-5 (in the Direct Instruction section). Questions 13-16 use Source 7, three invented student explanations (in the Closure section). For each multiple-choice question, choose the best answer. For short-answer questions, write four to seven sentences.
Multiple choice: pick an option to check it. Short answer: write your answer, then reveal the model answer.
0 of 20 answered · 0 correct
Question 1 of 20 · Multiple Choice
A student's question is "How did a census clerk turn one person's answers into holes in a card?" Which purpose should the explanation have?
Answer: C
The question asks for the steps a person followed, which is a procedural explanation (Source 2, paragraphs 6-7, would supply them). A technical explanation would describe how the device works inside; a chronological one would date events; cause and effect would explain why the method was adopted.
Question 2 of 20 · Multiple Choice
A student's question is "Why did the Census Bureau build its own tabulating machines in the 1900s?" Which purpose should the explanation have?
Answer: D
A why question needs cause and effect: Source 3, paragraph 2, links Hollerith's higher rental prices to the Bureau's decision to build replacements. A timeline of the same years would be chronological and would not, by itself, explain the decision.
Question 3 of 20 · Multiple Choice
Which purpose does Source 1 mainly serve?
Answer: C
Source 1 moves through time, from the 1790-1840 tallies of households to the 1850 change and the Seaton device of 1872, and ends with the 1880 census. It gives one short technical sentence about the device, but mostly it orders events; it never mentions the contest Hollerith won.
Question 4 of 20 · Multiple Choice
Source 5, paragraph 4, says the women tabulators averaged about 47,950 persons a day and the men 32,935. How many more persons a day did the women average?
Answer: A
47,950 - 32,935 = 15,015. 15,025 comes from subtracting the smaller digit from the larger in the ones place instead of borrowing; 80,885 adds the two averages; 150,150 puts an extra zero on the correct difference.
Question 5 of 20 · Multiple Choice
Martin says the men tabulators were "handicapped perhaps by coming on at night" (Source 5, paragraph 4). How should an explanation treat this phrase?
Answer: B
"Perhaps" marks a guess. Martin's averages are data, but the reason he attaches to them is untested; the shifts may differ in other ways. Nothing says the Census Office made this finding, and one comparison cannot show anything about all workers.
Question 6 of 20 · Multiple Choice
Martin says the official count came "exactly a month later" than November 10, on December 12 (Source 5, paragraph 5). What do the dates show?
Answer: B
From November 10 to December 10 is 30 days, and two more days reach December 12, so the gap is 32 days. That is close to a month, but "exactly" overstates the precision; a careful writer gives the dates. 33 days treats November as having 31 days; 42 adds the ten days of November a second time.
Question 7 of 20 · Multiple Choice
Martin says the critics had expected a total of 75,000,000, and the official count was 62,622,250 (Source 5, paragraphs 2 and 5). By about how much did the count fall short of what they expected?
Answer: B
75,000,000 - 62,622,250 = 12,377,750, or about 12.4 million. About 1.2 million misplaces a digit; about 13.4 million comes from a subtraction slip in the millions place; about 137.6 million adds the two numbers.
Question 8 of 20 · Multiple Choice
Why is Source 5 a weak source for explaining what the critics of the count believed?
Answer: B
Martin favored the machines and summarizes the critics in his own mocking terms ("spasms of indignation," "frantic disappointment"). He wrote in 1891, gives many numbers, and was not the inventor, so the other options misdescribe the source.
Question 9 of 20 · Multiple Choice
Source 3 says the 1890 count "finished months ahead of schedule and far under budget." What would make this claim significant data for a cause-and-effect explanation?
Answer: D
The claim gives no figures, so a writer cannot tell how far ahead or how far under. The planned and actual dates and costs would turn it into data. Repeating it, or quoting praise from the man in charge, adds no independent evidence.
Question 10 of 20 · Multiple Choice
Which statement is sound cause-and-effect reasoning that Source 3, paragraph 2, supports?
Answer: D
Source 3 says that after Hollerith raised prices "to an intolerably high level," the Bureau "decided to create replacements in-house." A reverses cause and effect; B puts a 1911 event before its supposed effect; C contradicts the source, since the Bureau kept using machines.
Question 11 of 20 · Multiple Choice
Source 1, paragraph 2, says that in 1850 census forms began collecting information on individuals, and "as the census form became more complicated, tallying census results became increasingly difficult." What link does this sentence make?
Answer: A
The sentence moves from more complicated forms to harder tallying: more detail per person, more to count. B reverses the link; C contradicts it; D brings in the Seaton device, which came in 1872 and was a response to the problem, not its cause.
Question 12 of 20 · Multiple Choice
Which outline for an explanation of the 1890 count is non-linear but keeps every event in its true order?
Answer: C
Opening with the price rise of the 1900 census and then returning to the earlier contest changes the order of telling, not the order of events. A changes the dates themselves; B is linear; D puts the machines into the 1880 census, which they did not count.
Question 13 of 20 · Multiple Choice
Read Dana's procedural explanation in Source 7, paragraph 2. What is its main problem?
Answer: A
Dana starts with the sorting drawer and ends with the punching, but the card had to be punched before it could be read, and it went into the sorter's drawer after the dials were read (Source 2, paragraphs 6-10). The draft is procedural, as its question asks, and it has no numbers to misuse.
Question 14 of 20 · Multiple Choice
Read Eli's cause-and-effect explanation in Source 7, paragraph 3. What is its main weakness?
Answer: C
Source 2 says Hollerith had worked for the Census Bureau, but it says he won the contract because of his contest results. Eli offers a cause the sources do not support, and a good result afterward does not prove that cause. The draft has no sequence error and names no weaknesses.
Question 15 of 20 · Multiple Choice
Read Farah's explanation in Source 7, paragraph 4. Judged against its purpose, what is its main weakness?
Answer: D
Farah's events match Sources 1-3 and are in true order, so the sequence is a strength. But her question asks why, and she lists events without a single because or as a result. The 1900 price rise does not even bear on the question.
Question 16 of 20 · Short Answer
Rewrite Farah's explanation (Source 7, paragraph 4) so that it fits its purpose. Keep her true dates, add at least two reasoning links, and cut anything that does not bear on the question.
Model answer: The 1890 count went faster because the Census Office replaced hand tallies with punched cards read by electricity. Even with Seaton's device, the 1880 census took nearly the entire decade to tabulate and publish, because clerks still counted marks on tally sheets by hand (Source 1, paragraphs 2 and 4). So the Office tested new methods on 1880 records from St. Louis, and Hollerith's machines tabulated them in 5.5 hours against 44.5 and 55.5 for the rivals (Source 2, paragraph 3). As a result, in 1890 the first count of the whole population took "only six weeks" (Source 5, paragraph 5). The 1900 price rise is cut because it came after the count. Rubric: full credit for true dates, two supported links and the cut; partial credit for links without sources.
Question 17 of 20 · Short Answer
Repair Eli's explanation (Source 7, paragraph 3). Replace his main cause with one the sources support, cite significant data, and end with one weakness of the repaired explanation given its purpose.
Model answer: The Census Office chose Hollerith's system because it won a test against two rival methods on 1880 records from four St. Louis districts. Martin reports that transcribing took 72 hours 27 minutes by Hollerith's method against 144 hours 25 minutes and 110 hours 56 minutes, and tabulating took 5 hours 28 minutes against 55 hours 22 minutes and 44 hours 41 minutes (Source 5, paragraph 1). "This settled it," he writes. Weakness: the test used 1880 records from four districts of one city, and the report comes from a writer who favored the machines, so a cause-and-effect explanation built on it shows why officials were convinced more than how the machines would perform on the full count. Rubric: full credit for the contest as the cause, cited data and a weakness tied to the cause-and-effect purpose; partial credit for the cause without data.
Question 18 of 20 · Short Answer
Hollerith wrote that one line per person, half an inch apart, would need a strip "over 500 miles long" for the 1890 census (Source 4, paragraph 2). How many people's records fit in 500 miles at half an inch each (1 mile = 63,360 inches)? What does your answer suggest about the population he assumed, and how should a writer use his figure?
Model answer: 500 × 63,360 = 31,680,000 inches, and 31,680,000 ÷ 0.5 = 63,360,000 records. So a strip "over 500 miles" assumes more than about 63.4 million people, a little above the 62,622,250 later counted (Source 5, paragraph 5) and close to the 65,000,000 basis the commission used (Source 5, paragraph 1). The figure is pertinent to why a new method was needed, but it is the inventor's illustration of the problem, built on an estimate, so a writer should present it as Hollerith's estimate, not as a measurement. Rubric: full credit for the correct calculation, the comparison with a count on the page and a judgment about the source; partial credit for the calculation alone.
Question 19 of 20 · Short Answer
Explain one strength and one weakness of Source 2 for a technical explanation of the card reader, and one strength and one weakness of Source 2 for a cause-and-effect explanation of why Hollerith won the contract.
Model answer: For a technical explanation, Source 2 is strong because it describes each part (pins, plates, mercury, dials) and what it does (paragraph 8); it is weak because it is a modern summary and does not say what happened when a card was damaged or misread. For a cause-and-effect explanation, it is strong because it gives the contest results in hours (paragraphs 2-3); it is weak because it does not name the rivals or describe their methods, so a reader cannot judge whether the test was a fair one. Rubric: full credit for a strength and a weakness for each purpose, each tied to the source; partial credit for one purpose only.
Question 20 of 20 · Short Answer
Write a non-linear explanation (five to seven sentences) of how the 1890 count was produced and announced. Open with the December 12, 1890 bulletin, keep every date true, use at least two pieces of data, name your purpose, and end with one weakness.
Model answer: My purpose is chronological, told out of order. On December 12, 1890, the Census Office announced an official count of 62,622,250 (Source 5, paragraph 5). That moment rested on work begun months earlier: the population had been counted as it stood on June 1, 1890, and the first dwelling house count took about six weeks on the Hollerith machines. A rough count was ready by October 30, and the last returns arrived on November 10. Ten years earlier, the 1880 census had taken nearly the entire decade to tabulate and publish (Source 1, paragraph 4). Weakness: the 1890 dates come from one writer who favored the machines, and a chronological explanation shows the speed without proving why it happened. Rubric: full credit for a non-linear opening, true dates, two pieces of data, a named purpose and a weakness; partial credit if the dates are true but the explanation is linear.
0 of 20 answered · 0 correct
06
Frequently Asked Questions
10 Questions
What does D4.2.9-12 mean?
D4.2.9-12 asks high school students to construct explanations using sound reasoning, correct sequence (linear or non-linear), examples, and details with significant and pertinent information and data, while acknowledging the strengths and weaknesses of the explanation given its purpose, such as cause and effect, chronological, procedural or technical.
How is D4.2.9-12 different from D4.2.6-8?
It asks for more. The high school indicator adds sound reasoning, sequences that may be non-linear, data that must be significant and pertinent rather than merely relevant, and judging an explanation against its purpose. A middle school explanation can be strong in general; a high school one must be strong for what it is trying to do.
What are the four purposes named in D4.2.9-12?
The indicator's examples are cause and effect (why something happened), chronological (when, in what order), procedural (the steps a person follows) and technical (how a device or system works). The list begins with "e.g.," so other purposes, such as comparison, also count.
What is a non-linear sequence?
A sequence told in a different order from the one in which events happened, such as opening with a result and then going back, or describing a process that loops. It is a strength when it helps a reader see why something matters, and a weakness if it blurs the true order. The dates and steps themselves must always stay correct.
What makes data significant and pertinent?
Data are pertinent when they bear directly on the question and significant when they would change a reader's understanding. In this lesson, the contest times are pertinent to why Hollerith won; the weight of the cards he estimated is pertinent to why a new method was needed; a count of the clerks' names would be neither.
Why does the lesson use the 1890 census?
It is a vehicle for the skill. The same system can be explained for all four purposes, the sources disagree in small ways that students can check, and the writers' stakes (an agency, an inventor, a supportive journalist) are easy to name. The skill transfers to any topic in history, civics, economics or geography.
How should students handle sources that disagree on a number?
Report both and say which source gives which, check which one is closer to the event and to the measurement, and avoid choosing the number that best fits the explanation. In this lesson, Source 2 and Source 5 differ on one of the contest times.
How is D4.2.9-12 assessed?
With explanations scored by purpose: sound reasoning, true sequence, significant data and examples, and a judgment of strengths and weaknesses that names the purpose and the stake of each source. Fact recall about the census is not scored.
Which literacy standards go with D4.2.9-12?
RH.11-12.3 asks students to evaluate various explanations for actions or events against textual evidence, and WHST.11-12.4 asks for writing whose development and organization fit the task, purpose and audience. Both match the work on this page.
What comes after D4.2.9-12?
D4.3.9-12 asks students to adapt their arguments and explanations for a range of audiences and venues outside the classroom, in print, oral and digital forms. Knowing the purpose of an explanation is the first step in adapting it.
07
Related Standards
5 standards
These standards connect to D4.2.9-12: prerequisites to review first, parallel standards at the same level, and next steps that build on it.
Before this lesson
D4.2.6-8Prerequisite
Construct explanations with reasoning, sequence, examples and data, noting strengths and weaknesses
Standard text: National Council for the Social Studies (NCSS), The College, Career, and Civic Life (C3) Framework for Social Studies State Standards: Guidance for Enhancing the Rigor of K-12 Civics, Economics, Geography, and History (Silver Spring, MD: NCSS, 2013). NCSS was not involved in the production of this lesson and does not endorse it.