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MYSTERY BOXES

Uncertainty & Collaboration

 

By Jean Beard

 

THE NATURE OF SCIENCE

Realm and Limits

Science's Social Context

Processes of Science

 SYNOPSIS

  Students manipulate sealed "mystery" boxes and attempt to determine the inner structure of the boxes which contain a moving ball and a fixed barrier or two. The nature and sources of uncertainty inherent in the process of problem-solving are experienced. The uncertainty of the conclusions is reduced by student collaboration.

 PRINCIPAL CONCEPT

 Scientific knowledge is fundamentally uncertain.

 ASSOCIATED CONCEPTS

1. Science is uncertain because it is a human activity.

2. Science explanations seem less certain when they are based on indirect information

3. Scientific uncertainty can be reduced through collaboration.

ASSESSABLE OBJECTIVES

 Students will.....

1. Distinguish between observations and interpretations.

2. Recognize and/or demonstrate two causes of uncertainty in science.

3. Illustrate how information can be obtained by using non-visual sensory data.

4. Demonstrate that science is a collaborative enterprise.

5. Recognize the elements of scientific problem solving as encountered in the activity.

 MATERIALS

Each "Mystery Box" is a rigid, permanently sealed, opaque, rectangular box with one or two glued-in partitions, ramps, etc., and a rolling sphere (e.g. a marble or steel ball). A class set of boxes should have groups of 4 to 6 boxes with the same interior contents and arrangement, with common labels or colors. Keep barrier layouts simple. It's OK if a barrier here and there comes loose (these are "mutations").

The original model was plastic boxes for 24 glass microscope slides) with wooden barriers glued in and glass marbles. Wooden replicas of this size are the author's favorite, but they are not available commercially.

Smaller, 1" x 1" x 2" plastic boxes with plastic and wood barriers and ball bearings were used quite successfully in ENSI and SENSI demonstration lessons. The boxes were obtained from a plastics store in Northern California. There are 8 colors available, but that is no longer the case. The only opaque boxes available from this source are black and white, which isn't fully opaque to bright light. (Let us know at ENSIweb if you find an acceptable box source.)

 TIME

  Full 45-55 min. period.

 STUDENT HANDOUTS

 none

 TEACHING STRATEGY

Ideally, the teacher will not know the inner contents and/or arrangements inside the boxes, and, in any case, will never divulge any knowledge of the contents. To be totally honest, someone else should prepare the boxes; two teachers can prepare the boxes for each other, and not share the content information.

Chalk boards / white boards should be erased, so that students will have room to draw their pictures of the contents of their boxes.

 

 

PROCEDURES

1. Hand a box to each student. If possible, do this as soon as the bell rings, before taking roll. Scatter the types of boxes randomly in each area of the room. Make it clear that the boxes are to remain closed.

STUDENTS: will look at boxes, pick them up, shake them, and look for a way to get inside. They will ask questions of the teacher (don't answer)....lots of noise!

ENSI 92 Teachers "Doing" the Mystery Boxes
Tom Atkins, Ralph Peterson, Ray Potts, Cheryl Garcia's back, Brian Stanley, Bonnie Romono
 

2. After a minute or two, get the class' attention. Ask students to describe what you have given them.

STUDENTS: will volunteer information, e.g. box shape, size, material, ball inside, obstructions inside, color, etc.

3. After the class reaches general agreement about the similarities (size, shape, opaqueness, moving interior object) assign that each box be analyzed to determine its interior configuration. Ignore comments about differences to focus them on the task at hand. Indicate that A "report" for each box's insides is to be drawn on the chalk board. Don't encourage sharing at this time.

4. While they are working, draw enough rectangles on the chalk board so there is one for each box. Walk around the room. Encourage them to report by completing a drawing of the insides in their rectangle on the board. Insist that scientists identify their work by placing their names under their "reports". Early "reporters" can continue to refine their interpretations at their desks.

5. When all drawings are complete get the class' attention again. Ask the students to scan the array of illustrations on the board referring to the drawings as data. First, ask for any statements which they can make about the total set of drawings. (e.g. "They are not all alike.") Then ask if they have any questions for any of the 'reporters.' This may elicit more complete drawings or labels. Then, ask for suggested evidence of patterns which seem to exist.

STUDENTS: will notice that the boxes aren't all alike, and that some boxes which look like might be the same inside. They may also want to add the color or label of each box to the diagrams on the board, and when they do, may see some correlation between that ID and the insides. Permit modifications of drawings while the discussion continues.

ENSI 92 Teachers Discussing "Published Boxes"
Leslie Hays, Sandi Watson, Eric Kuwada
 

6. Ask how they would suggest testing the patterns.

STUDENTS: will usually decide that all people with boxes of same color (or label) should compare information and boxes.

7. Based on their suggestion, get them into groups for further information gathering, comparisons, and analysis. Ask the group to improve the data report(s) if possible.

8. Again, watch the groups. Note interactions. Encourage them to improve or modify the diagrams on the board (their own reports). If there is apparent agreement ask them to make a single drawing with all names associated, and get them to erase the drawings they have replaced..

STUDENTS: will make new drawings or perfect their earlier ones, and remove redundant or incorrect illustrations.

9. When the groups are ready, again get the class' attention. Have someone from each group describe the process that their group went through to arrive at its report; what they DID, not what they decided. This will not be easy for them. Start with a group that concurred on one drawing fairly quickly and save the still conflicted groups for last. Learn about effective persuasion first. Note heroic people who would not be persuaded to give up to group pressure.

--- a. What did people do?

STUDENTS: traded boxes, compared impressions, told and showed others how to investigate a box and what to look/listen for (persuasive techniques), or developed new tests; ask "how were some people convinced to change interpretations?"

--- b. Discuss the role of common human traits, as it might affect problem-solving: egos, preferences, experiences, and biases; ask students to share their experiences with this.

STUDENTS: should refer to their experiences with interactions in reaching conclusions. (You may want to describe several interactions you observed while they were working.) They will probably try to justify what they did, which enhances the discussion.

--- c. Discuss the impact of these factors on objectivity. How does this affect one's confidence in the final explanation? Does this happen to real scientists doing real science? [yes]. Consider possible safeguards against excessive bias or domination. [The relative objectivity of measurement, publishing one's research (so others can repeat the work), and peer review, all reduce the influence of bias or domination.]

10. Collect the boxes when the discussion about their investigative techniques and their relationship to how scientists work is apparently complete.

STUDENTS will ask about the correctness of their reports, in the form of 'did we get it right?'

11.Re-inquire about their confidence in the information which they have reported. Were they giving you a story, didn't they do their best work - - what's the problem?

STUDENTS will admit to uncertainties about indirect information (something they couldn't see.

12. Find out what other non-invasive tests they might do with more time and better equipment (balances, magnets). Ask if this would make them more comfortable with their answers.

STUDENTS will usually indicate that they expect confirmation of their answers from teachers.

TEACHER REPLY: If you have used these boxes before assure your students that their reports are similar to earlier ones you have seen. Point out that scientists don't have a place to check their answers (No phone number for God). Make the case for the importance of reporting to others so that texts can be run by others.

14. Discuss the precise sensory information gathered, and alternative interpretations one might derive from those observations.

15. Discuss: consistency, predictability, tentativeness of the interpretations (generalizations). Ask how certain are they that their particular interpretations are the correct ones? Did they notice the variations in diagrams of what might be identical boxes?

16. IN SUMMARY, ask students to clearly but briefly state two different reasons why science is uncertain.

STUDENTS: should point out two causes of uncertainty: 1) normal human activity, with its biases and different perspectives, and 2) indirect information and inability to directly observe a situation.

17. IN SUMMARY, ask students to clearly but briefly suggest how uncertainty could be reduced.

STUDENTS: should include in their response that communication and cooperation can help reduce uncertainty.

18. At this point (if not done earlier), collect the boxes without revealing their contents.

19. OPTIONAL: Have students describe the scientific processes that were used by their groups.

STUDENTS: may recognize a clear statement of the problem, hypotheses (possible inner configurations), experimental testing (tilting, wile listening, feeling for movements), reporting/publishing (showing diagram on board), etc.

20. Note the purpose of the boxes: to illustrate knowledge that could be gained from unseen information. Real examples: atomic model, Earth's interior.

21. If asked, explain what you DO and do NOT know about the insides of the boxes. Hopefully you won't know too much, and can explain why that makes them better examples of scientific problems. Discuss the pitfalls of countering student information with "the right answer." Note the comparability of student information, and probable sources of discrepancies. Get students to realize that we will never know the totally real answer to any scientific question, but we often come close enough for practical purposes and future exploration. Encourage students to look for similar data for other boxes, exchange boxes for further checking and fine tuning, then be reasonably satisfied with the most probable description of the insides: their best hypotheses.

 ASSESSMENT

 1. Observe that all students are engaged and take turns in handling the boxes, exchanging dialogue, and sketching their interpretations on paper.

2. Develop tests which address the assessable objectives listed for this lesson.

EXTENSIONS

& VARIATIONS   

 Ask students to suggest what aspects of the natural world are most like a mystery box. [Alternatively, or even as an assessment, project the following list with the overhead, and ask students to select which items are most like the mystery box exercise, and explain why:]

1. Making a map of Yosemite National Park

2. Making a map of the Earth's interior

3. Exploring the surface of the Moon.

4. Exploring the surface of Venus.

5. Studying a cancer cell.

6. Learning the structure of an atom.

7. Finding out how DNA works.

8. Learning what causes a new disease.

9. How do we remember things?

CHECKS LAB: Try this other excellent and very popular lesson which, as presented here, embodies many of the same elements as the Mystery Boxes. Makes a good alternative to the Mystery Boxes.

 OTHER RESOURCES

See "Find the Washer" lesson.

 ATTRIBUTIONS

Some of the ideas in this lesson may have been adapted from earlier, unacknowledged sources without our knowledge. If the reader believes this to be the case, please let us know, and appropriate corrections will be made. Thanks.

1. Original Source: Use of slide boxes with wood barriers and glass marbles to investigate the unseen from trial versions of SCIS unit on atoms. Lawrence Hall of Science, Berkeley, CA

2. Modified for demonstration of science processes.by: Jean Beard

3. ENSI / SENSI original using small plastic boxes developed by: Jean Beard

4. Reviewed / Edited by: Martin Nickels, Craig Nelson, Jean Beard 9/98

5. Edited / Revised for website by L. Flammer 9/98



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