Western Oregon University's Pre-Service Middle School Mathematics Focus. Laurie Burton & Rachel Harrington TOTOM 2010. PROGRAM DESCRIPTION. Shared Foundations. First Math 211-212-213 12 quarter credits 3 hours of “lecture” & 2 hours of “lab. Shared Foundations.

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Western Oregon University's Pre-Service Middle School Mathematics Focus

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Western Oregon University's Pre-Service Middle School Mathematics Focus

Laurie Burton &

Rachel Harrington

TOTOM 2010

PROGRAM DESCRIPTION

Shared Foundations

FirstMath 211-212-213

12 quarter credits

3 hours of “lecture” &2 hours of “lab

Shared Foundations

Math 396 Elementary Problem Solving

3 quarter credits

2 hours twice a week

Non-Math Middle School Teachers

211, 212, 213 & 396 (15)

Math 111 or 392—College Algebra for Elementary Teachers (3 or 4)

One more math ed class

Math Middle School Teachers

211, 212, 213 & 396 (15)

College Algebra (3 or 4)

Five more 3 credit math ed classesThese meet two hours twice a week

Math Middle School TeachersFive math ed classes

393: Prob/Stats for Teachers

398: Discrete for Teachers

492/592: Abstract Algebra for MS

494/594: Geometry for MS

495/595: Calculus for MS

Math Middle School Teachers

400/500 level classes meet late so inservice teachers can attend

500 level classes apply toward MSinEd coursework

See wou.edu/math for details

COURSEDESCRIPTIONSandMATERIALS

Elementary Problem Solving

Mathematical problem solving, techniques and materials helpful in improving student problem solving abilities, mentoring of elementary and middle school students in problem solving processes.

Elementary Problem SolvingMaterials

Crossing the River with Dogs, Keypress

Coursepack for problem solving

Math Forum mentoring via Drexel University

College Algebra for Teachers

Enhancement of algebraic skills via problem solving and the visual representation and use of algebraic methods. Integer arrays, algebraic patterns, linear equations, quadratic equations, and graphing

College Algebra for TeachersMaterials

Visual Algebra Coursepack (free download at the Math Learning Center (link)

Google Burton Math Learning Center

Black and Red Tiles & Algebra Pieces (available Math Learning Center)

Probability and Statistics for Teachers

Using basic elements of probability and mathematics statistics to solve problems involving the organization, description and interpretation of data. Concrete applications will be explored.

Probability and Statistics for TeachersMaterials

Workshop Statistics (text)

Fathom Software

Class meets in computer lab

Discrete Math for Teachers

Explores topics in discrete math including set theory, enumeration and graph theory. Techniques in enumeration include the multiplication rule, combinations and permutations. Topics in graph theory include coloring, the traveling salesman problem and spanning trees.

An introduction to abstract mathematics as a structured mathematical systems. This course will explore number sets and properties, and beginning group theory with concrete applications for the elementary and middle school classroom.

Selected topics in informal geometry through the use of discovery and technology. The studies in how students learn geometry will be used in the development of geometric ideas.

Geometry for Middle School Materials

Coursepack 3.0 version 2.0-Kruczek, version 1.0-Fung

Geometer’s Sketchpad SoftwareClass meets half time in computer lab

An introduction to the theory of functions of one real variable, the derivative and its applications to optimization, integration theory and its applications to areas and volumes, the Fundamental Theorem of Calculus and infinite series. A hands-on approach with applications to the middle school curriculum.