# Mathematics for Teachers

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

## 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
Methods Of Instruction

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.

### Requisite for

This course is not required for any other course.

## 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

Institution Transfer Details Effective Dates
Camosun College (CAMO) CAMO MATH 1XX (4) 2013/01/01 to -
Capilano University (CAPU) CAPU MATH 190 (3) 2004/09/01 to -
Coquitlam College (COQU) COQU MATH 190 (4) 2004/09/01 to -
Kwantlen Polytechnic University (KPU) KPU MATH 1190 (4) 2004/09/01 to -
Langara College (LANG) LANG MATH 1190 (3) 2004/09/01 to -
Okanagan College (OC) OC MATH 160 (3) 2005/09/01 to -
Simon Fraser University (SFU) SFU MATH 190 (4), Q 2004/09/01 to -
Thompson Rivers University (TRU) TRU MATH 1900 (3) 2010/09/01 to -
Thompson Rivers University (TRU) TRU MATH 190 (3) 2004/09/01 to 2010/08/31
Trinity Western University (TWU) TWU MATH 190 (3) 2004/09/01 to -
University of British Columbia - Okanagan (UBCO) UBCO MATH 111 (3) 2005/05/01 to -
University of British Columbia - Vancouver (UBCV) UBCV MATH 1st (3), Precludes credit for UBCV MATH 335. Not for credit in Science or Commerce. 2015/09/01 to -
University of British Columbia - Vancouver (UBCV) UBCV MATH 1st (3), Precludes credit for MATH 335. Not for credit in the Faculty of Science. 2004/09/01 to 2009/04/30
University of British Columbia - Vancouver (UBCV) UBCV MATH 1st (3), Precludes credit for UBCV MATH 335. Not for credit in Science. 2009/05/01 to 2015/08/31
University of Northern BC (UNBC) UNBC MATH 190 (4), Not for credit toward major in Math or CPSC: Precludes credit for UNBC MATH 100, UNBC MATH 105, UNBC MATH 152 2009/01/01 to -
University of Northern BC (UNBC) UNBC MATH 1XX (3), Not for credit toward a major in Mathematics. 2004/09/01 to 2008/12/31
University of the Fraser Valley (UFV) UFV MATH 105 (3) 2004/09/01 to -
University of the Fraser Valley (UFV) UFV MATH 105 (4) 2004/09/01 to -
University of Victoria (UVIC) UVIC MATH 1XX (1.5) 2007/09/01 to -
University of Victoria (UVIC) UVIC MATH 160A (1.5), Credit will be granted for only one of UVIC MATH 160A, 160. Not open for credit to students who have 3 or more units of credit in math courses numbered 100 or higher, excluding 120. Intended for prospective Elementary Education students. 2004/09/01 to 2007/08/31
Vancouver Community College (VCC) VCC MATH 1190 (3) 2017/05/01 to -
Vancouver Island University (VIU) VIU MATH 131 (3) 2004/09/01 to -

## Course Offerings

### Winter 2021

CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
12850
Tue Thu Fri
04-Jan-2021
- 12-Apr-2021
04-Jan-2021
12-Apr-2021
Funk
Daryl
Open
Online
Open lab as per posted schedule. The tentative schedule is available at http://www.douglascollege.ca/programs-courses/faculties/science-technology/mathematics/math-lab

This course will include some synchronous on-line activities. Students should plan to be available on-line at scheduled course times. Synchronous on-line activities may include lecture, or they may not. In some courses, synchronous class time may be used instead for active learning components (e.g. discussions, labs).
Max
Enrolled
Remaining
Waitlist
35
0
35
0
Days
Building
Room
Time
Tue Thu Fri
8:30 - 10:20
CRN
Days
Dates
Start Date
End Date
Instructor
Status
Location
13764
Mon Wed Fri
04-Jan-2021
- 12-Apr-2021
04-Jan-2021
12-Apr-2021
Marquise
Annie
Open
Online
Open lab as per posted schedule. The tentative schedule is available at http://www.douglascollege.ca/programs-courses/faculties/science-technology/mathematics/math-lab

This course will include some synchronous on-line activities. Students should plan to be available on-line at scheduled course times. Synchronous on-line activities may include lecture, or they may not. In some courses, synchronous class time may be used instead for active learning components (e.g. discussions, labs).
Max
Enrolled
Remaining
Waitlist
35
0
35
0
Days
Building
Room
Time
Mon Wed Fri
12:30 - 14:20