Teaching mathematics in grades 4-12

Calendar

This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any unforeseen events that may occur during the semester.

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1. Prior knowledge

Due today #. read A Mathematician's Lament (2009, pages 1-16) #### Class overview 📋 #. assign groups #. syllabus scavenger hunt #. what is mathematics? #. start practice syllabi More information - The Teaching Gap (Stigler & Hiebert, 1999) - The Feeling of Power (Asimov, 1958) - Nix the Tricks (Cardone, 2015)

2. Syllabus design

Due today #. Practice » Syllabus #### Class overview 📋 #. new groups #. workshop syllabi #. growth vs. fixed mindsets #. goals vs objectives

3. Backwards design & assessments

Due today #. Practice » Summative assessment #### Class overview 📋 #. Workshop summative assessments #. Backwards design

4. How is mathematics learned? (via problems)

Due today #. Readings (choose one): - Math class needs a makeover (Meyer) - Rich mathematical tasks (Boaler, 2016) - Ten design principles for engaging math tasks (Meyer) - Implement tasks that promote problem solving (NCTM's Principles to actions, 2014) - Wisconsin Standards for Mathematics #. Practice » Problem-solving task #### Class overview 📋 #. Share problems #. Examples #. What is a problem? (problems vs. exercises) #. Scaffolding while maintaining high expectations

5. Lesson planning

Due today #. Practice » Teaching videos Finish problems from last week #### Class overview 📋 #. Workshop lessons #. Teaching strategies #. Lesson planning Plan for mini-lessons next week

6. Conceptual understanding (the "why" of math)

Due today #. Readings (choose one, though both are recommended): - Never say what a kid can say (Reinhart) - Criticism and ineffective feedback (Heddleston) #. Practice » Mini-lessons #### Class overview 📋 #. Student mini-lessons

7. Teaching numbers and operations

Due today #. Readings (choose one): - Equality (Carpenter, 2003) - Five objections to teaching the area model (Tanton, 2017, video) - Number: What is there to know? (National Research Council, 2001) - Nix the tricks (Cardone), pick at least two "tricks" number & operation tricks to focus on - K-5 Progression on Number and Operations in Base Ten - 3-5 Progression on Number and Operations—Fractions - 6-8 Progression on The Number System; High School, Number - High School Progression on Quantity #. Practice » Asking questions #. For fun, watch [The Weird Number](https://www.youtube.com/watch?v=PZWvvtbA1ME) (1970) #### Class overview 📋 #. discussion questions #. jigsaw task: alternate algorithms #. other tools - error patterns (aka. buggy algorithms) - missing decimals - manipulatives: base blocks, number line, positive/negative chips, fraction strips #. motivational - kenken - kakooma - kakuro - Four 4's - cross number puzzles #.

8. Teaching algebra & functions

Due today #. Readings (choose one): - Misconceptions in math (Allen, 2007) - Beginning algebra (Adding It Up, 2001, pg. 255-280) - Making algebra work (Star & Rittle-Johnson, 2009) - Teaching strategies for improving algebra knowledge in middle and high school students (Star et al., 2015) - addressing early algebra misconceptions and misinformation in classrooms (Draper & Lott, 2020), starts on page 32 - Against answer getting (Daro, video) - Nix the tricks (Cardone), pick at least two algebra topics to focus on - K-5 Progression on Counting and Cardinality and Operations and Algebraic Thinking - 6-8 Progression on Expressions and Equations - High School Progression on Algebra - High School Progression on Functions #. Practice » Asking questions #### Class overview 📋 #. discussion questions #. manipulatives: pan balance, algebra tiles #. strip diagrams (U: 1, 3, 5, 6, 9; W: 3; compare W1 & W2) #. motivational: Jinx puzzle, arithmagons

9. Teaching geometry and proof

Due today #. Readings (choose one): - forward-backward method for proofs (Solow, 2005) - K-5 Progression on Measurement and Data (measurement part) - K-6 Progression on Geometry - 7-HS Progression on Geometry - When good teaching leads to bad results (Schoenfeld) #. Practice » Asking questions #### Class overview 📋 #. Vocabulary with Zuekei puzzles #. Measurement: distance, area, surface area, volume #. Manipulatives: geoboards, compasses, protractors, miras, pattern blocks, Geogebra #. Puzzles: Shikaku, Area maze, Tic-tac logic, Dragon Box Elements

10. Student connections

Due today #. Add reading about student interviews #. Practice » Motivational activity #### Class overview 📋 #. workshop motivational activities in groups #. stories, manipulatives, puzzles, games #. brainstorm questions for student interviews

11. Interviews (no class)

#### No class for student interviews

12. Thanksgiving break (no class)

#### No class

13. Teaching probability and statistics

Due today #. Readings (choose one): - K-5 progression on Measurement and Data (data part) - 6-8 Progression on Statistics and Probability - High School Progression on Statistics and Probability - Student's understanding of probability (Shaughnessy, 200) - Why we make bad decisions (Gilbert, video) #. Practice » Asking questions New groups #### Class overview 📋 #. Misconceptions & issues #. Law of large numbers #. Stapplet (Youtube videos) #. STatistics Education Web (STEW) #. Picker wheel

14. Current topics & external resources

Due today #. watch [Get Up, Stand Up: Fighting Systemic Injustice Through Teaching (Ball, 2020)](https://vimeo.com/440074699) #. Practice » External resources #### Class overview 📋 #. discuss video #. share external resources #. formative evals

15. Student presentations

Due today #. prepare presentations #### Class overview 📋 🎲 #. Student presentations for the interview projects #. Discuss Exit ticket

Final exam time

#### Class overview #. Exit ticket (may be completed before class)

UWEC final exam schedule