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Page 1: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Math 50Basic Math

Page 2: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

2008-2009 Dev-Ed Math Statistics Carnegie Learning Cognitive Tutor Structure of Math 50 Student Placement Instruction Assessment The Pentagonal Model Mathematical Problem Solving and Student

Logs

Math 50

Page 3: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

ABE/GED Students

Attempted Dev-Ed Math

Registered in Dev-Ed Math

PassedDev-Ed Math

Failed Dev-Ed Math

600 100 55 25 30

Bellingham Technical College2008-2009 ABE/GED Students

Page 4: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

For those students needing only

GED Math

Accuplacer Arithmetic

Math 50

Page 5: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

• Prepared for GED Math Test

• Passed Accuplacer ArithmeticMath

50

Progression of Math Courses

Page 6: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

• Passed Accuplacer Arithmetic

• Qualified for Math 90Math 50

• Must make 50 or greater on Accuplacer to go to Math 100Math 50

Sequence of Math Courses

Page 7: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

◦ Blends collaborative and cooperative classroom instruction with

◦ Adaptive learning technology

Carnegie Learning Cognitive Tutor

Page 8: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Provide four feedback loops: Feedback to students

Feedback to instructors

Feedback to course designers

Feedback to learning science researchers

Carnegie Learning Cognitive Tutor

Page 9: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Results from a large study in Kent, WA

◦ showed gains across all students using Carnegie Learning Cognitive Tutor

◦ greatest gains from ELL and low-income students

Results

Page 10: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Class organization lab-based and modularized

Marks pass/fail

Successful Completion of Math 50 Ready to take GED Math Test Met the Accuplacer Arithmetic requirement for college

entrance Qualified for Math 90

Structure of Math 50

Page 11: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Placed by the system’s placement test.

Assigned to a starting module.

Complete only the modules needed at their own speed.

Student Placement in Math 50

Page 12: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Teachers will work with individuals and small groups on targeted skills identified by the software.

Community and peer tutors will be available to help students in addition to the on demand computer tutorials.

Large group instruction will integrate challenging application content.

Instruction

Page 13: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Lab hours will be required and tracked by the course management system.

Assessment will be ongoing and mastery learning of procedures will be required.

A careful structured sequence of procedural math topics will allow students to progress at their own rate, taking as much time as they need to get it right.

Check-up tests and exit tests will be given at the end of each module.

Assessment

Page 14: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

The Pentagonal Model

Page 15: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Collaborative Learning Activities: Think, Pair, Share

◦ Income Tax◦ Factorial◦ Singapore Math◦ Dewey Decimal System

Mathematical Problem Solving

Page 16: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Student Work

Page 17: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Student Work

Page 18: Basic Math.  2008-2009 Dev-Ed Math Statistics  Carnegie Learning Cognitive Tutor  Structure of Math 50  Student Placement  Instruction  Assessment

Gates Math Grant Basic College Mathematics by D. F. Wright, p.

179 Singapore Math 70 Must Know Word Problems:

Level 4, page 12 Singapore Math article by Jaguthsing Dindyalhttp://74.125.155.132/search?q=cache:SgLVj40Ans4J:math.ecnu.edu.cn/

earcome3/TSG3/EARCOME3_Dindyal_Jaguthsing_TSG3().doc+The+Pentagonal+Singapore+Math&cd=1&hl=en&ct=clnk&gl=us

Singapore Math article in The American Educatorhttp://archive.aft.org/pubs-reports/american_educator/issues/winter09_10/wang-

iverson.pdf

Acknowledgements