1 2 MATD 0485 Developing Mathematical Thinking Advance preparation - - PowerPoint PPT Presentation

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MATD 0485 “Developing Mathematical Thinking”

• Advance preparation for Non­STEM college­level topics
• Removing the algebra barrier
• New meaning of “mathematics;” relevant to non­STEM students
• Prereqs: comfort with decimals, fractions, percents; reading skills

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Why collaborate?

• Students collaborating
• Active learning in the classroom
• Appropriate pacing for students
• Reinforce concepts by speaking them
• Individualized, targeted help from instructor
• Instructors collaborating
• Time & labor management­­too big to do alone!
• Better quality of materials after group revision process

thoughtfully offering constructive feedback

• Support, informal training, idea swaps

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Expanding Statistics Coverage

MATD 0485 Developing Mathematical Thinking MATH 1332 College Mathematics (Liberal Arts) MATH 1342 Elementary Statistics (Health & Social Sciences)

• Identifying needs of Liberal Arts vs

Statistics students

• Statistics preparation: Intermediate

Algebra vs Developing Math Thinking

• Changes to degree requirements, esp.
• Nursing. No college-level math!?!

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My Typical Class Day (varies by instructor!)

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Unit 1: Problem Solving & Logic

Section 1.8 (Part 1): Venn Diagrams and Logic

Students get acclimated to new concepts...

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Practicing, deepening… Full­out problem solving...

Unit 1.8 (Part 2) – Venn Diagrams & Counting Unit 1.8 (Part 3) – Venn Diagrams & Two-Way Tables

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Your turn!

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Student Buy­in:

• Actively Engaged
• Addresses Misconceptions, Reinforces Understanding
• Consistency & Structure
• Mindful Relevance
• Success Breeds Success
• Learning How to be a College Student

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Unit 2: Introduction to Statistics

Section 1, Part 1: Populations & Samples

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Intro to Data Collection & Organization

Part 2: Types of Variables

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Intro to Data Collection & Organization

Part 3: Organizing Categorical Data

Your turn! Choose a Reader for your group. The Reader’s job is to read aloud as everyone follows along.

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Implementing statistics content

Setting the tone with students

• Data is messy
• Data is interesting!

Training faculty to teach (and get over anxiety about!) stats

• In-person sessions
• Online training for deeper understanding
• Faculty mentors

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Transitioning to College Math Coreq

(Math for Liberal Arts)

Extending Topics

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Transitioning to College Math Coreq

(Math for Liberal Arts)

Extending Vocabulary

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Transitioning to College Math Coreq

(Math for Liberal Arts)

1C: Venn Diagrams & Logic

Students get acclimated to new concepts...

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Transitioning to College Math Coreq

(Math for Liberal Arts)

1C: Venn Diagrams & Logic

Students get acclimated to new concepts...

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Practicing, deepening… Full­out problem solving...

Transitioning to College Math Coreq (Math for Liberal Arts)

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Group Activities Website

• Grouped by

unit, then section

• Includes a brief

description + link to subpage

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Activity Subpage

• Starts with

textbook correlation

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Activity Subpage

• Overview
• Before the Activity
• During the Activity

(Instructor Key included here)

• After the Activity

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Wrap Up

Faculty buy­in

• Stats
• academic freedom/varied levels of collaboration

Challenges

• Inexperience with using collaborative learning (Online Training)
• insecurity with stat content
• group pacing (monitoring group speed)
• inadequate reading levels
• writing complete sentences

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Recommendations

• 100% contextual
• Instructor website with activities & keys
• Ongoing mandatory trainings
• Faculty mentor/point­person

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Thanks!

Kelly Holman

Assistant Professor of Mathematics kgreenwo@austincc.edu

Colleen Hosking

Assistant Professor of Mathematics cneroda@austincc.edu