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Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students...

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Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010
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Page 1: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Using a Computer Algebra System (CAS) to Promote

Engagement and Access to Algebra for All Students

Larry Osthus

NCTM 2010

Page 2: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Larry [email protected]

Page 3: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Southeast Polk High School

Spring 2006

High School graduation requirements were changingSchool Board voted to require all students to take algebraRemedial math classes were removed from the curriculum

Page 4: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

As a teacher.............

What thoughts would you have if faced with a similar situation?

Page 5: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Dr. Zalman UsiskinDirector University of Chicago School Mathematics Project

Presentation: Computer Algebra Systems (CAS)

NCSM Conference - 2006

Page 6: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Dr. Zalman UsiskinCAS makes algebra comprehensible

CAS is at least as valuable to the poorest of

algebra students as it is to the best

CAS enables students to work with symbolic

manipulation that the curriculum has

avoided because of its difficulty

Page 7: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Dr. Zalman Usiskin:

Four types of students (US):

Serious college bound - extender

College bound - stabilizer

Work-force bound - enabler

Low performing student - crutch

Page 8: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Dr. Zalman Usiskin ...

“Think about what a crutch is!”

Page 9: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Dr. Zalman Usiskin ...

Crutch – “A tool to help you get along until you are strong enough to get along without it.”

Page 10: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

My thoughts:

“The teachers should try using a CAS program with their new algebra classes!”

“But what CAS program should they use?”

Page 11: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

CASIO Technology:

ClassPad Manager(Computer Software)

ClassPad 330 Plus(Calculator)

Page 12: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

School District Response:

We are ready to try something different!!Ordered a site license for the ClassPad ManagerOrdered three classroom sets of ClassPad 330 calculatorsParticipating teachers enrolled in ClassPad 101

Page 13: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Survey results:

AugustNovemberMay

Page 14: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

District Results:

Everyone was excited!Student attitude was positiveTeacher attitude was positiveStudents were exploring, hypothesizing, justifying, and communicatingTeachers changed their approach to teaching using “inquiry”

Page 15: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Student Achievement

75% of the students did better than or the same as they did in their previous math course – general math

88% of the students passed their course – Pre Algebra or Algebra I

Page 16: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Kent Horstman

Mathematics Department ChairSoutheast Polk High School

Page 17: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Would I go with CASIO again?

YES!

Page 18: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Why CASIO ClassPad?

Does not have an intimidating interface

Intuitive mouse/stylus-based operation – easy to learn and easy to use

ClassPad Manager site license is cheap!

ClassPad 330’s are affordable – places technology in students’ hands

Multitude of applications

Page 19: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

A comparison:

Page 20: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Trina RogersSoutheast Polk High School

Mathematics Teacher

Page 21: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Students need to learn that doing math may be hard at times, but it is worth the

struggle.

To get to this point, they first need to

know how it feels to be successful.

Page 22: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

What factors led to success?

• Me!• The Teachers!• Administrative support• CASIO Technology• Technology in the hands of the students• Weekly meetings• Staff development and/or graduate credit

Page 23: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

So what did we do?

Page 24: Using a Computer Algebra System (CAS) to Promote Engagement and Access to Algebra for All Students Larry Osthus NCTM 2010.

Larry Osthus

[email protected]

Thanks!


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