Mathematics for Elementary Teachers III

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.

1:

Monday Labor Day
Wednesday

Introduction

Friday

(bonus) Arithmagons

Big ideas in algebra (p. 8-9, in Canvas > Content)

Daily quiz (self)

  • vocabulary

Generalize arithmagons

2:

Monday

Q&A assignment for Equality

Review Q&A

  • discuss linkage errors
  • example of Japanese textbooks

Algebra rules

  • brainstorm rules
  • chapter 3.2, 4.3, 4.4
  • operations on sets (Canvas > Content)
Wednesday

Try Equation balance

Practice exercises Chapters 3.2 (not collected)

Daily quiz (group)

  • arithmagons

Algebra rules for numbers

Friday

finish operations on numbers

Daily quiz (peer)

  • arithmagons

Algebra rules for numbers

3:

Monday

Sowder Ch. 12.1 (Canvas > Content; not collected)

Daily quiz (group)

  • operations on sets

Patterns

  • finish operations on numbers (identify properties and mental math)
  • CA-205, 206
  • introduce finite differences for linear equations

*** Last day to drop classes ***

Wednesday

Using properties for mental arithmatic: CA-52, CA-57, CA-79, CA-82 (not collected)

Daily quiz (bonus)

  • based on "not collected" homeworks

Patterns

Friday

Q&A assignment for Draft 6–8 Progression on Expressions and Equations (focus on "overview" and "grade 6")

Review Q&A

Patterns

4:

Monday

Finite differences (bonus)

Daily quiz (self)

Functions & graphs

Wednesday

Try water line

Daily quiz (group)

Functions & graphs

  • find intersections algebraically
Friday

Try function carnival

Read Ch 9.8 and try problems (not collected)

Daily quiz (peer)

Functions & graphs

5:

Monday

WORK DAY (no class)

  • develop note sheet
  • self-quiz using book & quiz problems
Wednesday

Review

Friday

Exam 1

  • one page notes, one-sided, handwritten
  • calculator okay, cell phones not

6:

Monday

Try shape introduction and shape classification (both in Canvas > Content > Materials)

New groups, introduce practicum, revisit associativity

Shapes

  • discuss homework
  • CA-251, CA-252
Wednesday

CA-262 (not collected)

Review exam

Shapes

  • trapezoids: at least one pair of parallel sides vs. exactly one pair of parallel sides
  • concept map: circle, triangle, rectangle, square, quadrilateral, parallelogram, rhombus, trapezoid, regular polygon, polygon
Friday

Read 11.2 and try exercises (not collected)

Practicum: Practicum information "quiz" due

Measurement

  • discuss homework CA-262 (area)
  • CA-263 (ruler)
  • measurement is a comparision
  • Golomb ruler (if time)

Perimeter (& area)

  • CA-290(1 only), CA-291, CA-292

7:

Monday

CPM extra practice for area (not collected)

Daily quiz (bonus for exam 1)

  • based on page 1 of exam

Perimeter (& area)

Wednesday

Q&A assignment for Draft K-6 Progression on Geometry

Discuss Q&A

Area

  • square, rectangle, parallelogram, triangle
Friday

Make nets (Canvas > Content)

Try NCTM Illuminations > Geometric solids

Daily quiz (group)

Area

  • rhombus, trapezoid, circle (scissors needed)

Polyhedra

  • names

Reminder: Practicum lesson preference form due Monday

8:

Monday

Practicum: Lesson preference form due

Daily quiz (individual)

Polyhedra

  • naming: prisim, pyramid, Platonic solids
  • surface area: cone
  • creating problems
Wednesday

Read 10.5 and try exercises (not collected)

Read 11.1 and try exercises (not collected)

Daily quiz (group)

Polyhedra

  • surface area: cylinder, sphere
  • challenge problems
Friday

Daily quiz (group)

Polyhedra

  • volume: cube, prism, pyramids, cylinder, cone, sphere
  • creating problems

9:

Monday

Daily quiz (group)

Polyhedra

  • creating problems
Wednesday

Daily quiz (group)

Symmetry

  • interior angles
  • rotational symmetry
Friday

Try Sowder 18.1: 4, 7, 8 (for class discussion; in D2L > Content)

Try Escherized tesselation

Daily quiz (bonus)

Symmetry

  • discuss learning exercises
  • reflective symmetry (miras)
  • properties of tesselations (if time)

10:

Monday

Practicum: Dry run day

Wednesday

Practicum: Materials request form due

Review

Friday

Exam 2 (proctored)

  • one page notes (one-sided, handwritten)
  • calculator
  • nets

11:

Monday

New groups

Statistics introduction

*** Last day to withdraw from classes ***

Wednesday

Bring at least one textbook per group

Complete CA-340-341

Displaying data (15.2)

  • discuss homework
  • types of displays: pictographs, bar , pie, dot, histogram, steam-and-leaf, line, scatterplot

Practicum reminders

  • name tags
Thursday

Practicum Morning

Friday

Practicum Afternoon (no class)

12:

Monday

Bring at least one textbook per group until further notice

Chapter 15.2, problem 7 (write one inference for each of the six tables)

Notes

  • Practicum portfolio
  • Remove one Q&A then lower grading scale appropriately?

Displaying data (15.2)

  • discuss HW
  • CA 344-346
Wednesday

Q&A assignment for Draft 6–8 Progression on Statistics and Probability and Against Answer Getting (Daro)

Daily quiz (group)

Measures of center (15.3)

  • CA 354
  • CA 355
Friday

Read discussion about mean, median, and mode

Daily quiz (individual)

Measures of center (15.3)

  • CA 357
  • CA 358

13:

Monday

Practicum: Portfolios (early deadline for +1 bonus)

Data distributions (15.4)

  • definitions: mode; skewed, symmetric, bimodel (CA 359); quartiles, IQR, outliers
  • box plots: CA 364, CA 365

Complete CA 365 on own. Not collected, but will show up again.

Wednesday

Practicum portfolio work day / "Math" games

Friday Thanksgiving break

14:

Monday

Practicum: Portfolios due

books not needed for class

Student evals & feedback

Data distributions (15.4)

  • CA 365: IQR (spread based on median)
  • CA 365: MAD (spread based on mean)
Wednesday

Daily quiz (peer): box plots

Data distributions (15.4)

Friday

(optional) Read Police, Academy

finish variance task

Daily quiz (group): mean, median, mode

Data distributions (15.4)

  • CA 365: standard deviation (spread based on mean)
  • differences between measures of spread
  • percentages for standard deviations
  • standard scores

15:

Monday

Daily quiz (bonus)

Data comparisons

Wednesday

Q&A assignment for Common sense about the Common Core (Schoenfeld)

Data comparisons

Review

Friday

Try Line of best fit (NCTM Illuminations) of Estimating the line of best fit (Khan Academy)

Review

Common final exam

Wednesday, December 17 at 3pm (HHH 102)