Teaching Mathematics, grades 5-12

Calendar

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

Sept 11

Homework due today

  1. Readings:
  2. Practice » CPM syllabus

Prior knowledge

  • Syllabus game
  • Workshop practice syllabi
  • What is mathematics?

Sept 18

Homework due today

  1. Readings:
  2. Practice » In-class assessment

Summative assessment

  • Warm up
  • Workshop assessments
  • ETS Advanced Placement exams: conventions, examples
  • Backwards design

Sept 25

Homework due today

  1. Readings:
  2. Practice » Assessment scoring

How is mathematics learned?

  • Workshop scoring guides
  • What do we remember? (fear as motivation?)
  • "The best learning begins with …"

Oct 2

Homework due today

  1. Readings:
  2. Practice » Teaching videos

Teaching for understanding

  • Workshop lessons
    • What is the teacher doing?
    • What are the students doing?
    • The hard parts
  • Teaching strategies
  • Lesson planning

Oct 9

Homework due today

  1. Readings:
    • Establish goals to focus learning (Principles to actions, 2014, p. 12-17)
    • Elicit and use evidence of student thinking (Principles to actions, 2014, p. 53-58)
    • Assessment for learning (What's math got to do with It?, p. 98-105)
    • New forms of testing that encourage learning (Boaler, 2015, p. 84-94)
    • (optional) Planning chapters, not lessons (Daro)
  2. Practice »Formative assessment

Objectives & Formative assessment

  • Create lesson objectives
  • Teaching strategy: Framing the question / Questions / Feedback
  • Growth vs. Fixed
  • CCSS-M: Practice standards

Oct 16

Homework due today

  1. Readings:
  2. Practice » Problem-solving task
  3. Practice » Professional lesson plan

Problem solving

  • Workshop problems
  • Examples
  • What is a problem?
  • Scaffolding while maintaining high expectations

Oct 23

Homework due today

  1. Readings (choose four):
  2. Practice » Professional lesson plan (returned)

Motivation & engagement

Oct 30

Homework due today

  1. Readings:
    • ???

Teaching number and operations

Nov 6

Homework due today

  1. Readings:
  2. Practice » CCSSM Progressions

Teaching algebra

Nov 13

Homework due today

  1. Readings:
  2. Practice » CCSSM Progressions
  3. Practice » prepare for PS observations (problem & scaffolds)

Teaching geometry & proof

  • Manipulatives: geoboards, compasses, protractors, miras, pattern blocks,
  • Software: GSP, Geogebra
  • Vocabulary
  • Misconceptions & issues

Nov 20

Homework due today

  1. Readings:
  2. Practice » Review two stats lessons
  3. Practice » CCSSM Progressions

Teaching probability & statistics

  • Outcome generator
  • Law of large numbers
  • Comparing distributions
  • Misconceptions & issues

Nov 27

Homework due today

  1. Readings
  2. Practice » CCSSM Practice standards

Homework and practice

Dec 4

Homework due today

  1. Readings
  2. Practice » Math project

Grading

  • Workshop assessments
  • History
  • Different scales
  • Gradebook & rubrics
  • Standards-based grading
  • Teaching examples: #grading
  • Reminder PS observation

Dec 11

Homework due today (incomplete)

  1. Readings
  2. Writing assignment (open)
  3. Practice » External resources

Reflections

  • discuss external resources

Final exam

(University finals schedule)