Download MAT 201

Mathematics for Elementary Teachers I
MAT 201
Course Information
Textbook Information
Title: Mathematical Reasoning For Elementary Teachers: A Contemporary Approach 7e
Author:
Long, DeTemple, Millman
Publisher: Pearson
ISBN-13: 978-0-32190099-9
Sections to Cover
Chapter or
Appendix
Section
Topic
Chp. 1
Chp. 2
Chp. 3
Chp. 4
Chp. 5
All
All
All
All
All
Chp. 6
All
Chp. 7
All
Thinking Critically
Sets and Whole Numbers
Numeration and Computation
Number Theory
Integers
Fractions and Rational
Numbers
Decimals, Real Numbers, and
Proportional Reasoning
Chp. 10
10.2
10.4
Measurement: Length , Area,
and Volume
Learning
Outcome(s)
Notes
all
1, 2, 3
3, 4, 5
3, 4
3, 4
3, 4
3, 4, 7
10.1 optional
but
recommended
Edited: 7/23/2014
MAT 201
Learning Outcomes and Standards
Learning Outcome
1. Apply numeration systems.
2. Apply basic set theory, patterns and inductive and
deductive reasoning to solve problems.
3. Perform basic arithmetic
4. Solve problems from a variety of contexts using a
variety of strategies including utilization of
mathematical manipulatives.
5. Perform operations in non-base ten systems.
6. Solve problems of area, perimeter and volume.
7. Solve problems of ratios and percents.
Standard(s)
1a. State, illustrate, and apply number properties.
1b. Extend number patterns to algebraic reasoning.
1c. Analyze and describe the interconnectedness
among addition, subtraction, multiplication, division,
powers, and roots.
2a. Identify, describe, extend, analyze, and create
number patterns and use number patterns to solve
problems.
2b. Discuss problem-solving techniques such as
Polyas 4-step process.
3a. Illustrate and explain various mental and concrete
models for addition, such as union of sets, numberline, and add-on.
3b. Illustrate and explain various mental and concrete
models for subtraction, such as take-away,
comparison, missing addend and number-line.
3c. Illustrate and explain various mental and concrete
models for multiplication, such as rectangular arrays,
repeated addition, and tree diagrams.
3d. Illustrate and explain various mental and concrete
models for division, such as partition, missing factor,
and repeated subtraction.
3e. State, illustrate and apply traditional and nontraditional algorithms.
4a. Utilize a variety of manipulatives such as base ten
blocks, pattern blocks, cuisenaire rods, color tiles, etc.
to solve various problems and demonstrate solutions
of arithmetic operations.
5. Apply various methods to perform operations with
bases other than ten.
6. Apply problem-solving techniques to find area,
perimeter and volume of a variety of geometric shape.
7. Solve problems involving proportional reasoning.
Edited: 7/23/2014