Interactive Lecture Demonstrations Active Learning in Difficult Settings

Similar documents
MATHEMATICS. The assessment objectives of the Compulsory Part are to test the candidates :

Position Time Graphs 12.1

Measures of Spread: Standard Deviation

ARISTOTELIAN PHYSICS

G r a d e 1 1 P r e - C a l c u l u s M a t h e m a t i c s ( 3 0 S )

Section 1.1. Calculus: Areas And Tangents. Difference Equations to Differential Equations

Teaching Mathematics Concepts via Computer Algebra Systems

a. For each block, draw a free body diagram. Identify the source of each force in each free body diagram.

A quick activity - Central Limit Theorem and Proportions. Lecture 21: Testing Proportions. Results from the GSS. Statistics and the General Population

6.3 Testing Series With Positive Terms

Tennessee Department of Education

Response Variable denoted by y it is the variable that is to be predicted measure of the outcome of an experiment also called the dependent variable

MATHEMATICS. The assessment objectives of the Compulsory Part are to test the candidates :

Signals & Systems Chapter3

(A) 0 (B) (C) (D) (E) 2.703

AP Calculus AB 2006 Scoring Guidelines Form B

Read through these prior to coming to the test and follow them when you take your test.

STATS 200: Introduction to Statistical Inference. Lecture 1: Course introduction and polling

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES

DEPARTMENT OF ACTUARIAL STUDIES RESEARCH PAPER SERIES

Chapter 6: Numerical Series

Math 140 Introductory Statistics

6.1. Sequences as Discrete Functions. Investigate

Microscopic traffic flow modeling

Understanding Dissimilarity Among Samples

Examine each chart, what connections are there between the ratio!p!n and your findings in Task 2.1.1? Explain your reasoning.

Chapter 6 Overview: Sequences and Numerical Series. For the purposes of AP, this topic is broken into four basic subtopics:

Agreement of CI and HT. Lecture 13 - Tests of Proportions. Example - Waiting Times

Math 116 Second Midterm November 13, 2017

ANALYSIS OF EXPERIMENTAL ERRORS

Introducing Sample Proportions

The Pendulum. Purpose

Kinetics of Complex Reactions

24.1. Confidence Intervals and Margins of Error. Engage Confidence Intervals and Margins of Error. Learning Objective

Systems of Particles: Angular Momentum and Work Energy Principle

Chapter 7: Numerical Series

Slide 1. Slide 2. Slide 3. Solids of Rotation:

Analysis of Experimental Measurements

The structure and function of biological molecules SI MODULE CODE N CREDITS 20 LEVEL 4 JACS CODE. Independent Guided Study

Randomized Algorithms I, Spring 2018, Department of Computer Science, University of Helsinki Homework 1: Solutions (Discussed January 25, 2018)

The Quark Puzzle A 3D printable model and/or paper printable puzzle that allows students to learn the laws of colour charge through inquiry.

Infinite Sequences and Series

AP Statistics Review Ch. 8

Topic 1 2: Sequences and Series. A sequence is an ordered list of numbers, e.g. 1, 2, 4, 8, 16, or

Chapter 10: Power Series

Math 10A final exam, December 16, 2016

Math 113 Exam 4 Practice

Math 31B Integration and Infinite Series. Practice Final

Exponents. Learning Objectives. Pre-Activity

Math 113 Exam 3 Practice

PROBABILITY AMPLITUDE AND INTERFERENCE

Students will calculate quantities that involve positive and negative rational exponents.

CHAPTER 10 INFINITE SEQUENCES AND SERIES

Topic 5: Basics of Probability

Mechanical Efficiency of Planetary Gear Trains: An Estimate

DeBakey High School For Health Professions Mathematics Department. Summer review assignment for rising sophomores who will take Algebra 2

AAEC/ECON 5126 FINAL EXAM: SOLUTIONS

Essential Question How can you recognize an arithmetic sequence from its graph?

Northwest High School s Algebra 2/Honors Algebra 2 Summer Review Packet

The "Last Riddle" of Pierre de Fermat, II

Revision Topic 1: Number and algebra

Chapter 11: Asking and Answering Questions About the Difference of Two Proportions

CURRICULUM INSPIRATIONS: INNOVATIVE CURRICULUM ONLINE EXPERIENCES: TANTON TIDBITS:

Lecture 2: Monte Carlo Simulation

Lesson 10: Limits and Continuity

1 Review of Probability & Statistics

Mathematics HIGHER SCHOOL CERTIFICATE Assessment 4 ABBOTSLEIGH. Student s Name: Student Number: Teacher s Name:

This is an introductory course in Analysis of Variance and Design of Experiments.

Fall 2018 Exam 2 PIN: 17 INSTRUCTIONS

The Sample Variance Formula: A Detailed Study of an Old Controversy

Section 1 of Unit 03 (Pure Mathematics 3) Algebra

A sequence of numbers is a function whose domain is the positive integers. We can see that the sequence

EE / EEE SAMPLE STUDY MATERIAL. GATE, IES & PSUs Signal System. Electrical Engineering. Postal Correspondence Course

An alternating series is a series where the signs alternate. Generally (but not always) there is a factor of the form ( 1) n + 1

AP Calculus Chapter 9: Infinite Series

Introducing Sample Proportions

4.3 Growth Rates of Solutions to Recurrences

Chapter 23: Inferences About Means

Principle Of Superposition

The Binomial Theorem

1 Inferential Methods for Correlation and Regression Analysis

Intermediate Math Circles November 4, 2009 Counting II

WHAT IS THE PROBABILITY FUNCTION FOR LARGE TSUNAMI WAVES? ABSTRACT

Math 116 Practice for Exam 3

MULTI-DIMENSIONAL SYSTEM: Ship Stability

SPEC/4/PHYSI/SPM/ENG/TZ0/XX PHYSICS PAPER 1 SPECIMEN PAPER. 45 minutes INSTRUCTIONS TO CANDIDATES

x a x a Lecture 2 Series (See Chapter 1 in Boas)

AP Calculus BC 2005 Scoring Guidelines

True Nature of Potential Energy of a Hydrogen Atom

(c) Write, but do not evaluate, an integral expression for the volume of the solid generated when R is

DS 100: Principles and Techniques of Data Science Date: April 13, Discussion #10

Commutativity in Permutation Groups

ST 305: Exam 3 ( ) = P(A)P(B A) ( ) = P(A) + P(B) ( ) = 1 P( A) ( ) = P(A) P(B) σ X 2 = σ a+bx. σ ˆp. σ X +Y. σ X Y. σ X. σ Y. σ n.

Understanding Samples

Homework 7 Due 5 December 2017 The numbers following each question give the approximate percentage of marks allocated to that question.

Fall 2018 Exam 3 HAND IN PART 0 10 PIN: 17 INSTRUCTIONS

CHAPTER 8 SYSTEMS OF PARTICLES

2.004 Dynamics and Control II Spring 2008

2C09 Design for seismic and climate changes

Probability, Expectation Value and Uncertainty

Transcription:

Iteractive Lecture Demostratios Active Learig i Difficult Settigs Roald Thorto Professor of Physics ad Educatio Director, Ceter for Sciece & Math Teachig Tufts Uiversity

Collaboratio Major Collaborator David Sokoloff Departmet of Physics Uiversity of Orego With help from Priscilla Laws Departmet of Physics Dickiso College

Ceter for Sciece ad Math Teachig Tufts Uiversity Curriculum Developmet Educatioal Research Computer Tool Developmet Teacher & Professor Educatio

Fudig l NSF Natioal Sciece Foudatio l FIPSE Fud for the Improvemet of Post Secodary Educatio l US Departmet of Educatio

Ca a active learig eviromet be created i a large (or small) lecture class?

I obviously thik so or I would t have proposed to talk to you about it. The method I propose is Iteractive Lecture Demostratios or ILDs You will hear two about two other methods for makig lectures iteractive-eric Mazur will talk about Peer Istructio ad Evely Patterso will discuss Just i Time Teachig. You ca effectively use all three methods together. Let s do a ILD to illustrate the method

ILD Predictio Sheet Motio with Carts-Demo 6 Please fid it i the hadouts This ILD is actually the 6th demo i the Motio with Carts ILD sequece which is the secod sequece i the Motio, Force,& Eergy series. To show you the procedure, I ll do it with you as if you were my studets

Let s do it

Tools for Scietific Thikig Iteractive Lecture Demostratio Procedure 1. Describe the demostratio ad do it for the class without real-time MBL measuremets. 2. Ask studets to record idividual predictios. 3. Have the class egage i small group discussios with earest eighbors. 4. Ask each studet to record fial predictio o hadout sheet which will be collected at the ed 5. Elicit predictios & reasoig from studets.

ILD Procedure cotiued 6. Carry out the demostratio with realtime MBL measuremets displayed. 7. Ask a few studets to describe the result. The discuss results i the cotext of the demostratio. Studets fill out a results sheet which they keep. 8. Discuss aalogous physical situatios with differet surface features. That is, a differet physical situatio that is based o the same cocept.

Referece Usig Iteractive Lecture Demostratios to Create a Active Learig Eviromet. Sokoloff & Thorto The Physics Teacher, September, 1997, Vol. 35, pp. 340-347

What effective curricular reform techiques does this example illustrate? Begi with the specific ad move to the geeral Use peer collaboratio Keep studets actively ivolved. Let the physical world be the authority Make appropriate use of techology Begi with what studets uderstad Emphasize coceptual uderstadig Lik abstractios to the cocrete Fid aswers from the physical world Experimet!

Choosig the Experimets i a Iteractive Lecture Demo Sequece The sequece of short, uderstadable experimets was derived from our research i physics learig. Experiece with studets i hads-o, guided discovery laboratories iformed our choice of activities. Studets must uderstad or trust apparatus used o Mr. Wizard stuff.

Tested MBL ILD Sequeces Walkig Sequece- Itro kiematics Kiematics-uses carts ad fas Dyamics- 1st ad 2d Laws Third Law Eergy of Cart o Ramp Simple Harmoic Motio with modelig ad Vector Visualizatio Gravity Projectile Motio usig the Visualizer Heat ad Temperature Simple DC Circuits, RC Circuits Leses ad Image Formatio

Tested MBL ILD Sequeces cotiued Itroductio to Vectors ILD with Dyamic Tutorial assiged as homework -uses Vector Visualizer

Motio, Force, ad Eergy Iteractive Lecture Demo Sequeces Published by Verier Software & Techology Icludes u Teachers Guide u Presetatio Guide u Studet Predictio ad Results Sheets u TST ad LoggerPro Versios of Experimet Setups Mac, DOS, Widows u Actual Backup Results i Experimetal Setups u Paper showig actual learig results u Videos of actual ILD s

ILDs are part of the Physics Suite beig developed by the Activity-based Physics Group Ceterpiece of the Suite is Uderstadig Physics by Cummigs, Laws, Redish, ad Cooey-- a ew book based o Halliday, Resik, ad Walker ad the results of physics educatio research. The Suite icludes coordiated Labs, Iteractive Lecture Demos, Tutorials Published by Wiley

RealTime Physics: Mechaics Published by Joh Wiley & Sos is also part of the Suite

How do studets react to ILDs?

Let s watch a Ist Law Demo from the Dyamics Sequece Demostratio 3: Show that cart accelerates i either directio whe oly oe fa uit is o as see i previous demostratios. With both fas o balaced the cart does ot move. Now push ad release ad observe velocity ad acceleratio. Push ad release-keep had out of way of motio detector Predictio begis just after cart leaves had ad eds just before the cart is stopped. Discuss i cotext of previous demostratio--costat velocity motio with et force equal to zero. Discuss i cotext of bicycle ad/or car movig dow road at costat velocity--why is it ecessary to pedal or step o the accelerator?

Make your predictio first

Video of a Newto s 1st Law Iteractive Demo Tufts Physics 1- o-calculus itroductory physics approximately 170 studets Fall 98

Video of The Eergy of a Cart o a Ramp Iteractive Demo Tufts Physics 1- o-calculus itroductory physics approximately 170 studets Fall 98

Active X Visualizer i LoggerPro

Active X Visualizer i LoggerPro

Example of a 3rd Law Iteractive Lecture Demostratio Forces of Iteractio i a Collisio Betwee Two Objects

Let s do it Look at Demo 4-Sample Forces i Collisios Demo part of Newto s 3rd Law Sequece

Newto Third-Collisio

Collisio-Impulse

So what do studets lear?

We have spet years Creatig effective learig eviromets for itroductory sciece physics courses curricula, tools, pedagogical methods, group structures Ad developig methods of coceptual evaluatio to measure studet learig ad guide our progress. For large scale ad frequet evaluatio we have settled o coceptual multiple-choice assessmet.

Multiple Choice Coceptual Evaluatio Coceptual evaluatio for u kiematics descriptio of motio ad u dyamics force ad motio which is well characterized by Newto s Laws. Force & Motio Coceptual Evaluatio FMCE developed by the Ceter for Sciece ad Math Teachig at Tufts Thorto & Sokoloff Assessig Studet Learig of Newto s Laws: The Force ad Motio Coceptual Evaluatio of Active Learig Laboratory ad Lecture Curricula Thorto & Sokoloff, Am. J. Phys, 66, pp. 338-352 1998

Why Multiple Choice? More easily admiistered to large umbers of studets. Evaluatio takes less time. Studet resposes ca be reliably evaluated eve by the iexperieced. Ca be desiged to guide istructio. With proper costructio, studet views ca be evaluated from the patter of aswers, chages over time ca be see, frequecy of studet views ca be measured. Multiple choice combied with ope respose ca help the teacher/researcher explicate the studets respose.

Usig the FMCE Studet aswers correlate well above 90% with writte short aswers i which studets explai the reaso for their choices Almost all studets pick choices that we ca associate with a relatively small umber of studet models. Testig with smaller studet samples shows that those who ca pick the correct graph uder these circumstaces are almost equally successful at drawig the graph correctly without beig preseted with choices.

FMCE Because we are able to idetify statistically most studet views from the patter of aswers ad because there are very few radom aswers, we are also able to idetify studets with less commo beliefs about motio ad follow up with opportuities for iterviews or opeeded resposes to help us uderstad studet thikig. The use of a easily admiistered ad robust multiple choice test has also allowed us ad others to track chages i studet views of dyamics ad to separate the effects of various curricular chages o studet learig.

FMCE l Use multiple represetatios u The Force Graph questios require explicit kowledge of coordiate systems ad graphs but require little readig. u The Force Sled questios use atural laguage ad make o explicit referece to a coordiate system or graphs.

Compariso with short aswer As with all the questios o the test studets who aswered correctly were also able to describe i words why they picked the aswers they did. Statistically oe of the last questios to be aswered i a Newtoia maer is the force o a cart rollig up a ramp as it reverses directio at the top questio 9.

Questios 8-10 refer to a toy car which is give a quick push so that it rolls up a iclied ramp. After it is released, it rolls up, reaches its highest poit ad rolls back dow agai. Frictio is so small it ca be igored. Use oe of the followig choices (A through G) to idicate the et force actig o the car for each of the cases described below. Aswer choice J if you thik that oe is correct. A Net costat force dow ramp E Net costat force up ramp B Net icreasig force dow ramp D Net force zero F Net icreasig force up ramp C Net decreasig force dow ramp G Net decreasig force up ramp 8. The car is movig up the ramp after it is released. 9. The car is at its highest poit. 10. The car is movig dow the ramp.

Cart o Ramp The followig are typical explaatios from studets who aswered this questio from a Newtoia poit of view: u u After the car is released the oly et force actig o it is the x-compoet of its weight which has a et force dow the ramp i the positive directio. Whe the car is at the top of the ramp, its velocity is 0 for just a istat, but i the ext istat it is movig dow the ramp, v2- v1 = a pos umber so it is accel. dow. Also, gravity is always pullig dow o the car o matter which way it is movig.

Cart o Ramp Typical studet aswers for those who aswered as if motio implies force were: u u At the highest poit, the toy car s force is switchig from oe directio to aother ad there are o et forces actig upo it, so it is zero. Because at the oe istat the car is at its highest poit it is o loger movig so the force is zero for that oe istat it is at rest = et force = 0 The agreemet betwee the multiple choice ad ope aswer resposes is almost 100%.

Physics Courses Usig New Methods We have evidece of substatial, persistet learig of such physical cocepts by a large umber of studets i varied cotexts i courses ad laboratories that use methods I am about to describe. Such methods also work for studets who have traditioally had less success i physics ad sciece courses: wome ad girls, miority studets, ad those who are badly prepared.

Uiversity Physics Courses Before Istructio Average College ad Uiversity Results Force Before Istructio Acceleratio Velocity 0 20 40 60 80 100 % of Studets Uderstadig Cocepts

Uiversity Physics Courses After Normal Istructio Average College ad Uiversity Results Force After Traditioal Istructio Before Istructio Acceleratio Velocity 0 20 40 60 80 100 % of Studets Uderstadig Cocepts

Uiversity Physics Courses After New Methods Average College ad Uiversity Results Force After New Methods After Traditioal Istruc. Before Istructio Acceleratio Velocity 0 20 40 60 80 100 % of Studets Uderstadig Cocepts

What about 1 umber results Not my favorite, but useful i some situatios If we wish to compare a large umber of learig circumstaces.

Let s compare ILD s to stadard istructio usig the FMCE

Example Data Coceptual evaluatio for kiematics ad dyamics uses the Motio ad Force Coceptual Evaluatio FMCE developed at the Ceter for Sciece ad Math Teachig at Tufts Gais % of possible improvemet show are preistructio, post-istructio gais o the sigle # score of the FMCE. correlates at 0.8 to the FCI Examples for differet studet populatios, differet professors. All ILD scores are far above the results of traditioal istructio.

Orego Traditioal Algebra 1988-1989 (N=236) SUNY Albay Traditioal Calc F1998 (N=73) Sydey Traditioal Calc 1995 (N=472) Compariso of FMCE Gais RPI Studio Physics S1998 (N=145) Sydey Calculus + ILDs 1999 (N=60) Mt. Ararat H.S. ILDs S1998 (N=33) RPI Studio Physics + ILDs S1999 (N=250) Muhleberg Col. Calc + ILDs F1997 (N=87) Dickiso Workshop Physics F97-00 (N=203) Orego Algebra + ILDs F1991 (N=79) Tufts Algebra + ILDs 1994, 1996, 1997 (N=325) 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% <g> (% Normalized Gai).

Let me tell you a story about egieers

New Methods at RPI Structural Chages RPI adapted some elemets of Workshop Physics to produce Studio Physics. Studets spet less total time i class but more time doig computer-based activities. The result? Studets happier. Coceptual learig i mechaics somewhat better tha traditioal. 22% vs 15% ormalized gai o the FMCE

Research-based Curricular Chage I the sprig of 1998 ad 1999 Kare Cummigs of the RPI physics departmet itroduced a series of research-based Iteractive Lecture Demostratios ILD s o Mechaics four 40-miute segmets some of which you have here ito Studio Physics Result? I 1999, ormalized gai for the FMCE was about 60% istead of 22%.

Summary Results Newto s 1st ad 2d Laws atural laguage Newto s 1st ad 2d Laws graphical Newto s 3rd Law collisio Newto s 3rd Law cotact

Typical Gais from Good Traditioal Istructio Average % of Studets' Uderstadig 100 90 80 70 60 50 40 30 20 10 0 Coceptual Uderstadig of Newto's Laws before ad after Orego Itro No-Calculus Physics Good Traditioal Istructio (1988-89) atural laguage evaluatio graphical evaluatio Not asked 1st & 2d(l) 1st & 2d(g) 3rd (coll.) Newto's Laws Not asked 3rd (co.) Pre Ist. (0re. NC 88-89) Post Ist. (Ore. NC 88-89) N=236

Uiversity Algebra-based Physics Traditioal Istructio Uiversity Algebra-based Physics Newto's 1st & 2d Before ad After Traditioal Istructio Average % of Studets Uderstadig 100 90 80 70 60 50 40 30 20 10 0 Orego 89-90 Before Istructio (N=240) Orego 89-90 After Traditioal (N=240) VA Tech 1992 After Traditioal (N=441) atural laguage evaluatio graphical evaluatio 1st & 2d 1st & 2d(g) Coi Toss Cart o Ramp Force & Motio Evaluatio

Orego after ILD s Average % of Studets Uderstadig 100 90 80 70 60 50 40 30 20 10 atural laguage evaluatio graphical evaluatio ot asked ot asked Before Istructio After ILDs Fial 0 1st & 2d 1st & 2d(g) Coi Toss Cart o Ramp Force & Motio Evaluatio

Summary Results for Iteractive Lecture Demo s at Tufts Coceptual Uderstadig of Newto's Laws after Tufts Itro No-Calculus Physics (P1 F94) Traditioal Istructio except for TST Iteractive Lecture Demo's & 2 MBL Kiematics Labs Average % of Studets' Uderstadig 100 80 60 40 20 0 1st & 2d(l) 1st & 2d (g) 3rd (coll.) 3rd (co.) Pre Ist. F94 (Phys. 1) Fial F94 (Phy. 1) N=135 atural laguage evaluatio Newto's Laws graphical evaluatio

Compariso of Teacher Results to Studet Results Coceptual Uderstadig of Newto's Laws after Tufts Itro No-Calculus Physics (F94) Traditioal Istructio except for TST Iteractive Lecture Demo's & 2 MBL Kiematics Labs Average % of Studets' Uderstadig 100 Pre Ist. F94 (Phys. 1) Fial F94 (Phy. 1) N=135 80 Teachers D'so SS 96 60 40 20 0 1st & 2d(l) 1st & 2d(g) 3rd (coll.) 3rd (co.) atural laguage evaluatio Newto's Laws graphical evaluatio

Our Istructioal ad Assessmet Philosophy I still do t have all of the aswers, but I m begiig to ask the right questios.