Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Model Lesson - Download Handout

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Linda Fahlberg-Stojanovska, Ph.D.U St. Clement of Ohrid, Bitola, FYR Macedonia Joel Duffin, Ph.D.OER Glue - NLVM - eNLVMMaria Droujkova, Ph.D.Natural Math, Founder and Director Dani Novak, Ph.D.Ithaca College, Ithaca, NY, USA

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Lesson 1: Pythagorean theorem R2U classroom applet

Lesson 2: Linear inequalities on the number line uDo math practice applet

Lesson 3: Dynamic triangles with base=8 and height=3 DIY construction/simulator applet

Types of applets used in math education Evaluating and Feedback:  Google Survey

Discussion and Summary

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Introduction • geogebramath.org  

 

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Lesson 1: Pythagorean theorem  - R2U classroom applet Use this applet to calculate or check calculations from Pythagoras's theorem. You input 2 sides and the applet calculates the3rd side and draws the triangle.

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Lesson 2: Linear inequalities on the number line uDo math practice applet -  solve and get feedback!

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Introduction • GeoGebra as free dynamic math software

geogebra.org  

 

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Lesson 3: Dynamic triangles with base=8 and height=3 DIY construction/simulator applet - learn by doing

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Applets varieties: Pseudo-3D pedagogical taxonomy

1. Pedagogical purpose o Targeted learningo Exploring and problem-solvingo Art

2. Interfaceo Show&tello Closed-ended inputo Parametric makerso Construction and drawing

3. User-generated content o R2Uo uDoo DIY

Join the sorting funat Math Future wiki

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Purpose, interface, user role pseudo-dimensions: NOT independent!

Targeted learning Exploring & Problem-solving Art

Show&TellR2U Sine & the unit circleuDo -----DIY -----

R2U Dynamic FrisbeeuDo -----DIY -----

R2U Spiraling starsuDo -----DIY -----

Closed-ended input

R2U -----uDo Inequalities DIY -----

R2U -----uDo -----DIY -----

R2U -----uDo -----DIY -----

Parametric makers

R2U Pythagorean tripletsuDo --why not?--DIY Quadrilaterals

R2U Geometric explorationsuDo --why not?--DIY Parametric function grapher

R2U CycloiduDo --why not?--DIY Sri Yantra Mandala

Construction and drawing

R2U -----uDo Mid-pointDIY GeoGebra itself!

R2U -----uDo --why not?--DIY GeoGebra itself!

R2U -----uDo --why not?--DIY Kaleidoscope

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

 

Here we explored 3 types of applets, namely: • ready-to-use R2U applet that shows the math interactively,

• math-practice uDo applets that generate random problems to be solved interactively,

• do-it-yourself DIY applet where the student himself builds a simulator of a problem and learns by doing 

 GeoGebra as free dynamic math software: geogebra.org

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

  Questions: 1. Do you have access to a video projector

so that you can use a R2U classroom applet easily?2. Do you think your students would practice using applets that

generate problems similar to those on standardized tests?3. Do you have access to a computer laboratory so that you can

have students create simulators together with you?4. What kinds of applets do you think you might use in your

teaching?5. Would you be interested in using/rating/creating applets?

 Survey

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Discussion and Summary

See responses to survey:

Using and Evaluating Applet Enhanced Lessons in 6-12 Math Classrooms

Model Lesson