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

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2 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

3 Why collaborate? •Students collaborating •Instructors collaborating • Active learning in the classroom • Appropriate pacing for students • Reinforce concepts by speaking them • Individualized, targeted help from instructor • Time & labor management­­too big to do alone! • Better quality of materials after group revision process � thoughtfully offering constructive feedback • Support, informal training, idea swaps

4 (Liberal Arts) Algebra vs Developing Math Thinking Statistics students Sciences) (Health & Social Elementary Statistics Expanding Statistics Coverage MATH 1342 Mathematics College MATH 1332 Thinking Mathematical Developing MATD 0485 • Identifying needs of Liberal Arts vs • Statistics preparation: Intermediate • Changes to degree requirements, esp. Nursing. No college-level math!?!

5 My Typical Class Day (varies by instructor!)

6 Unit 1: Problem Solving & Logic Section 1.8 (Part 1): Venn Diagrams and Logic Students get acclimated to new concepts...

7 Unit 1.8 (Part 2) – Venn Diagrams & Counting Unit 1.8 (Part 3) – Venn Diagrams & Two-Way Tables Practicing, deepening… Full­out problem solving...

8 Your turn!

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

10 Unit 2: Introduction to Statistics Section 1, Part 1: Populations & Samples

11 Intro to Data Collection & Organization Part 2: Types of Variables

12 Intro to Data Collection & Organization Part 3: Organizing Categorical Data The Reader’s job is to read aloud as everyone follows along. Your turn! Choose a Reader for your group.

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14 Implementing statistics content Setting the tone with students Training faculty to teach (and get over anxiety about!) stats • Data is messy • Data is interesting! • In-person sessions • Online training for deeper understanding • Faculty mentors

15 Transitioning to College Math Coreq (Math for Liberal Arts) Extending Topics

16 Transitioning to College Math Coreq (Math for Liberal Arts) Extending Vocabulary

17 Transitioning to College Math Coreq (Math for Liberal Arts) 1C: Venn Diagrams & Logic Students get acclimated to new concepts...

18 Transitioning to College Math Coreq (Math for Liberal Arts) 1C: Venn Diagrams & Logic Students get acclimated to new concepts...

19 Transitioning to College Math Coreq (Math for Liberal Arts) Practicing, deepening… Full­out problem solving...

20 Group Activities Website •Grouped by unit, then section •Includes a brief description + link to subpage

21 Activity Subpage •Starts with textbook correlation

22 Activity Subpage •Overview •Before the Activity •During the Activity (Instructor Key included here) •After the Activity

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 23

Recommendations •100% contextual •Instructor website with activities & keys •Ongoing mandatory trainings •Faculty mentor/point­person 24

Thanks! Kelly Holman Assistant Professor of Mathematics kgreenwo@austincc.edu Colleen Hosking Assistant Professor of Mathematics cneroda@austincc.edu 25