math and the minds eye activities 8
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math and the minds eye activities 8
I Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 al Encounters with ChanceTo the Teacher: Each activity will take several hours of class time, as students must conduct experiments, analyze and organize data, and reflect and write about what they discover. The activities provide an introduction to some of the big ideas surrounding chance, such as: math and the minds eye activities 8 making decisions and predictions under uncertainty; getting and using information fmm samples; experimental probability as compared to building theoremath and the minds eye activities 8
tical models lor probability experiments: and an introduction co some visual representations of data.ĨịịĨ Sampling, Confidence and Probability■ SampleI Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 for representing the results of a probability experiment is introduced. Comparisons between guesses, experimental probabilities and theoretical probabilities are made.Hath and die Mind's Eye materials arc intended for use in grades 4-9.They arc written so teachers can adapt them to fir student back math and the minds eye activities 8 grounds and grade levels. A single activity can be extended over several days or used in pan.A catalog of Math and the Mind’s Eye materials and teachimath and the minds eye activities 8
ng supplies is available from Tire Math Learning Center, PO Box 3226, Salem, OR 97302. 503-370-8130. Fax: 503-370-7961.i0Identifying Like Traits by SaI Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 sed to represent and to compare data samples. Histograms provide another convenient visual representation ofdara.Experimental and Theoretical EvidenceThe distribution of sums lor rolling two dice is investigated using bodi experimental and theoretical evidence. Ute context is set within a game in wh math and the minds eye activities 8 ich players attempt to find an optimal strategy to win.SChecker-A GameResults from a binomial experiment with equally likely outcomes (odd and even romath and the minds eye activities 8
lls on a regular die) are compared to theoretical probabilities determined by counting the possible sequences of 6 tosses of the die. This activity isI Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 ith unequally likely outcomes (rxld and even products of faces of two regular dice) arc compared to theoretical probabilities. Comparisons are made between the Chccker-A and Chcckcr-B games to point out the differences between equally likely and unequally likely binomial experiments.Cereal Boxesxili math and the minds eye activities 8 rll Simulation by a probability experiment is a tool often used when a direct theoretical approach to a probability problem is inaccessible. The cereamath and the minds eye activities 8
l box problem uses the "sample until" technique that frequently occurs in problems involving chance. Visual representation of data, such as median marI Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 ation in which this game can be played many rimes very quickly proves to be a powerful mechanism for understanding what the best strategy is—to stick or to switch.Math and the Mind's EyeCopyright o 1993 The Mali Lcjinia^ CcMcr.The Mtth Learning Ccnivr -rjnt, prrtriktKin to dost-room icxhen co reprod math and the minds eye activities 8 uce cltv Mudcac ware icy prp.ee io ipptoprinie quiocicics foe their daotooni UK.These mueriah were prepared with the wippot of National Science Fouiuhmath and the minds eye activities 8
cion Grjnt MPK-V«I>37I.ISBN 1-886131-20-1Unit VIII ’Activity 1Sampling, uontiaence and Probabilityo V E R V I E wSamples are drawn from Hidden Sack inI Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisua math and the minds eye activities 8 s of a probability experiment is introduced.^Comparisons between guesses, expcrirncn-tal probabilities anti theoretical probabilities arc madc-4ActionsPrerequisite Activities math and the minds eye activities 8 I Unit VIII / Math and the Mind's EyeVisual Encounters with ChanceMichael Shaughnessy & Michael J. ArcidiaconoUnit VIII / Math and the Mind's EyeVisuaGọi ngay
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