How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical...

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How CSU Fullerton Is Stretching Traditional College Algebra

Transcript of How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical...

Page 1: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

How CSU Fullerton Is Stretching Traditional College Algebra

Page 2: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Path to Calculus

Page 3: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

College Algebra Defined at CSU Fullerton

Page 4: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Poll QuestionHow do you currently define College Algebrain your mathematics structure?

• One semester without Trigonometry

• One semester with Trigonometry

• Part of a two semester Pre-Calculus

• Other- type into Q&A pod

Page 5: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Stretching College Algebra

First Semester Second Semester

Is Not just Splitting the original course in Half

Page 6: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Non-Negotiables

• Student Centered

• Mathematics Rigor Maintained

• Affordable

• Institutionalize (Faculty Support)

Page 7: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Strands of Mathematical Proficiency

• Conceptual Understanding –

comprehension of mathematical

concepts, operations, and relations

• Procedural Fluency – skill in

carrying out procedures flexibly,

accurately, efficiently, and

appropriately

• Strategic Competence – ability to

formulate, represent, and solve

mathematical problems

• Adaptive Reasoning – capacity for

logical thought, reflection, explanation,

and justification

• Productive Disposition – habitual

inclination to see mathematics as

sensible, useful, and worthwhile,

coupled with a belief in diligence and

one’s own efficacy.

https://www.nap.edu

Page 8: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Poll QuestionDo you have experience with Strands of Mathematical Proficiency?

• Yes, we are aware and incorporating them into our plans

• We are aware of them

• Just learning about them

• Not aware before today

Page 9: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Stretching College Algebra

Semester 1

Math 115 A

Prerequisites

Equations

Introduction to Functions

Graphing Family of Functions

Linear Functions

Quadratic Functions

Page 10: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Stretching College Algebra

Semester 1

Math 115 A

Prerequisites

Equations

Introduction to Functions

Graphing Family of Functions

Linear Functions

Quadratic Functions

Semester 2

Math 115 B

Prerequisites

Equations

Deeper Look at Functions

Polynomial Functions

Rational Functions

Exponential/

Logarithmic Functions

Page 11: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Frayer Model

Student Centered

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Affordability

Customize the Text based on OpenStax

Page 13: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Poll QuestionWhat types of materials are you going to use?

• We are planning to use a textbook that includes all materials

• We are planning to use materials from multiple sources

• We are planning to create our own materials.

• We are still deciding

Page 14: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Institutionalize

Page 15: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Institutionalize

Section:• Student Learning Goals• Starts with a World Problem or an Anticipatory Activity• Body of the Lesson*

• Guided Notes and Student Interaction• Spiral Activity• Practice

Page 16: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Flipped?

Page 17: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

College Algebra Defined at CSU Fullerton

• Fall 2018 –115 A

• Spring 2019 –115 B

• Summer 2019 –ESM 115 A

Page 18: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Poll QuestionShare an idea or tool that has emerged in your redesign.

Page 19: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Poll QuestionWhat aspects of the redesign are still challenging you?

Page 20: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

http://www.calstate.edu/app/mathqr/how-to-center.shtml

Support Models “How To” Center

Page 21: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Join a Listserv

Send an email with no subject or message to:

Statistics:[email protected]

Quantitative Reasoning:[email protected]

Path to Calculus (including college algebra):[email protected]

Page 22: How CSU Fullerton Is Stretching Traditional College Algebra€¦ · Strands of Mathematical Proficiency • Conceptual Understanding – comprehension of mathematical concepts, operations,

Math/QR Professional Development Calendar

http://www.calstate.edu/professional-development-calendar

Upcoming Webcasts

February 21, 10AMPractical Ways to Implement Inquiry-Based Learning Strategies in College Math

Stan Yoshinobu

February 22, 11AMHow To Design Co-Requisite Support for Quantitative Reasoning Courses

Becky Moening

March 6, 2PMCreating Math Identity

Bill Zahner