Course

# Mathematics for Teachers

Faculty
Science & Technology
Department
Mathematics
Course Code
MATH 1191
Credits
4.00
Semester Length
15 weeks
Max Class Size
35
Method(s) Of Instruction
Lecture
Lab
Typically Offered
Fall
Summer
Winter

## Overview

Course Description
This is a one semester course which explores the basic mathematical concepts which are taught in the elementary school curriculum. Topics will include sets, whole numbers and integers, arithmetic operations, rational and real numbers and the study of informal geometry including curves, angles, area and volume, symmetry, congruence and motion geometry. Students are advised that this course requires a considerable time commitment.
Course Content
1. Critical Thinking and Inductive Reasoning
2. Strategies for Problem Solving
3. Sets
4. Whole Number Operations
5. Properties of Operations on Sets
6. Integers and Operations
7. Divisibility, Primes, Composites and Factorization
8. Rational Numbers and Operations
9. Decimals and Percent
10. Integer Exponents
11. Points, Lines and Planes
12. Polygons and Polyhedra
13. Measurement
14. Areas and Volumes
15. Cylinders, Cones and Spheres
16. Motion Geometry
17. Symmetry
18. Congruence of triangles
19. Similarity
Learning Activities

Lectures, group work

Means of Assessment

Evaluation will be carried out in accordance with Douglas College policy.  The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester.

 Weekly assignments 15-20% Term tests 30-50% Term project 0-10% In-class assignments/group work 0-5% Participation/attendance 0-5% Final exam 30%

Note:  Students may be required to pass the final exam in order to be eligible to pass the course.

Learning Outcomes

At the end of the course, the successful student should be able to:

• employ pattern recognition, Polya’s method and other critical thinking strategies to solve word problems
• understand and apply the concepts of set union, intersection and the Cartesian product
• use Venn diagrams to solve problems
• demonstrate addition, subtraction, multiplication and division of integers using a variety of appropriate models (e.g. sets, the real number line, tree diagrams, arrays)
• explain and apply the properties of the real numbers (e.g. commutative law, associative law, etc.)
• explain and apply the rules required to evaluate expressions involving integer exponents
• explain and use the Fundamental Theorem of Arithmetic and the Sieve of Eratosthenes
• demonstrate equivalence, addition, subtraction, multiplication, and division of fractions and decimals using a variety of appropriate models
• find and explain how to find greatest common factors and least common multiples
• convert and explain how to convert numbers from decimal to fractional or percentage form and vice versa
• solve problems involving applications of percent
• define and solve problems using commonly used terms of informal geometry:  collinear, parallel, perpendicular, skew, triangle, circle, polygon, parallelogram, trapezoid, rectangle, rhombus, square
• define and solve problems using terms used in the description of angles:  supplementary, complementary, adjacent, vertical, alternate, acute, obtuse
• explain and apply the basic properties of measurement to determine length, area and volume (i.e. the covering property, the congruence property, the additive property, the comparison property)
• convert between different units of measurement
• explain how geometric constructs separate the plane or space
• prove simple statements of geometry using deductive reasoning
• solve problems that require applying the concepts of symmetry, reflection and translation
• determine and explain how to determine if given triangles are similar, congruent or neither
• define terms and solve problems related to the geometry of triangles:  equilateral, isosceles, scalene, acute, obtuse

NOTE TO INSTRUCTORS:

While teaching Math 1191 the instructor’s objectives should be:

• to spark and nurture a positive attitude towards mathematics
• to help students to reach a level of mathematical competence which will allow them to function effectively as mathematics teachers in an elementary school setting
• to expose students to the beauty of mathematics, along with its fun and creative sides
Textbook Materials

Textbooks and Materials to be Purchased by Students

Wheeler and Wheeler, Modern Mathematics for Elementary Educators, Current Edition, Kendall-Hunt Publishing.

## Requisites

### Prerequisites

B.C. Principles of Math 11 (C or better) or equivalent; or Precalculus 11 with a C or better; or Precalculus 12 with a C or better; or Foundations of Math 11 with a C or better; or Foundations of Math 12 with a C or better.

### Corequisites

No corequisite courses.

### Equivalencies

No equivalent courses.

## Course Guidelines

Course Guidelines for previous years are viewable by selecting the version desired. If you took this course and do not see a listing for the starting semester / year of the course, consider the previous version as the applicable version.

## Course Transfers

These are for current course guidelines only. For a full list of archived courses please see https://www.bctransferguide.ca

Institution Transfer Details for MATH 1191
Camosun College (CAMO) CAMO MATH 1XX (4)
Capilano University (CAPU) CAPU MATH 190 (3)
Coquitlam College (COQU) COQU MATH 190 (4)
Kwantlen Polytechnic University (KPU) KPU MATH 1190 (4)
Langara College (LANG) LANG MATH 1190 (3)
Okanagan College (OC) OC MATH 160 (3)
Simon Fraser University (SFU) SFU MATH 190 (4)
Thompson Rivers University (TRU) TRU MATH 1900 (3)
Trinity Western University (TWU) TWU MATH 190 (3)
University of British Columbia - Okanagan (UBCO) UBCO MATH 111 (3)
University of British Columbia - Vancouver (UBCV) UBCV MATH 1st (3)
University of Northern BC (UNBC) UNBC MATH 190 (4)
University of the Fraser Valley (UFV) UFV MATH 105 (4)
University of Victoria (UVIC) UVIC MATH 1XX (1.5)
Vancouver Community College (VCC) VCC MATH 1190 (3)
Vancouver Island University (VIU) VIU MATH 131 (3)

## Course Offerings

### Summer 2023

CRN
Days
Dates
Start Date
End Date
Instructor
Status
CRN
22197
Wed Fri
Start Date
-
End Date
Start Date
End Date
Instructor Last Name
Meichsner
Instructor First Name
Alan
Course Status
Open
Section Notes

Open lab as per posted schedule. The tentative schedule is available at https://www.douglascollege.ca/programs-courses/explore-programs-courses…

Max
Enrolled
Remaining
Waitlist
Max Seats Count
35
Actual Seats Count
31
4
Actual Wait Count
0
Days
Building
Room
Time
Wed Fri
Building
New Westminster - North Bldg.
Room
N1220
Start Time
12:30
-
End Time
15:20