Download presentation

Presentation is loading. Please wait.

Published byDeshawn Bonfield Modified over 3 years ago

1
Mieke Abels Freudenthal Institute Utrecht University, Netherlands Michael Matassa and Raymond Johnson Freudenthal Institute US University of Colorado Boulder Making Sense of Algebra with Realistic Mathematics Education

2
Expectations? How can RME help teachers and students to understand and meet the common core goals of Algebra? How can students develop strategies for solving systems-of-equations? What can I do with my 6 th (7 th, 8 th ) grade students? How may a learning trajectory for (systems of) equations look like? Sources?

3
Tug-of-war How would a sixth grade student solve this problem? Source: Comparing Quantities (MIC)

4
Substitute and compare This side wins

5
Substitute and compare This side wins

6
Substitute and compare This side wins

7
ICEBERG METAPHOR INFORMAL FORMAL L=30y+320 L=35y+295

8
Three frogs How would a sixth grade student solve this problem? Visualizations? Source: MiTC

10
Sunny 1 jump = 7 steps

11
Cal 1 jump = 8 steps

12
Leg 13 5 2 jump = 18 steps 1 jump = 9 steps

13
Balance scales How can this problem be solved using informal strategies?

14
1 Compare the student work. What are the differences, what is the same? What concepts are developed?

15
2

17
ICEBERG METAPHOR INFORMAL PRE-FORMAL FORMAL MODELS L=30y+320 L=35y+295

18
Generate new equations $ 6.80

19
Generate new equations $ 1.00

20
Combination chart 2 3 1 1 $7.80 $3.40 22$6.80 $1.00 1 0 X 2 Find the difference

21
A Learning trajectory FORMAL FLOATING CAPACITY L=4j +5 L=2j+15 Balance strategy Equations Compare jumps and steps 3j − 2 = 2j + 2 8 + 4x = 10 − 2x Sets of Equations y = 2x +5 2y = 4x − 3 Generate new equations Notebook strategy Substitute and compare

22
MIC (Mathematics in Context) http://mathincontext.eb.com Units: Comparing Quantities Graphing Equations MiTC (Mathematics in the City) http://mitcccny.org http://www.contextsforlearning.com Unit: The California Frog-Jumping Contest: Algebra DME (Digital Mathematics Environment) http://dme.colorado.edu/dwo/colorado.htmlhttp://dme.colorado.edu/dwo/colorado.html, or http://www.fi.uu.nl/dwo/enhttp://www.fi.uu.nl/dwo/en (login as guest) Math Secondary Education> Algebra> Lesson-Systems of equations More information: http://www.fisme.uu.nl/wisweb/en RME conference in Boulder. 4th International RME Conference, 2013 sept 27-29, University of Colorado, Boulder See for more information: www.fius.orgwww.fius.org Utrecht Summer School on Mathematics and Science Education August 19 - 30, 2013 in Utrecht, the Netherlands. http://www.utrechtsummerschool.nl/index.php?type=courses&code=H7 http://www.utrechtsummerschool.nl

23
Mieke Abels M.J.Abels@uu.nl Michael Matassa michael.matassa@colorado.edu Raymond Johnson raymond.johnson@colorado.edu mathed.net, @MathEdnet google.com/+RaymondJohnson

Similar presentations

Presentation is loading. Please wait....

OK

Microsoft Mathematics 4.0 October 8 th, 1 P.M. Andy Imm.

Microsoft Mathematics 4.0 October 8 th, 1 P.M. Andy Imm.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on network theory books Module architecture view ppt on mac Ppt on biography of mahatma gandhi Ppt on central limit theorem definition Ppt on 2d nmr spectroscopy Ppt on national education day 2016 Ppt on indian textile industries in india Ppt on reliance securities limited Ppt on land and sea breeze Ppt on cleanliness and hygiene