School

Science, Technology, Engineering and Math

Division

Mathematics

Department

Mathematics

Academic Level

Undergraduate

Course Subject

Mathematics

Course Number

225

Course Title

Mathematics for Elementary Teachers III

Credit Hours

3.00

Instructor Contact Hours Per Semester

62.00 (for 15-week classes)

Student Contact Hours Per Semester

62.00 (for 15-week classes)

Grading Method

A-E

Pre-requisites

MATH-221, with a C grade or better

Catalog Course Description

For students who are involved in a curriculum for elementary teachers. Topics include geometry, probability, and statistics. May utilize computer software to develop geometry content and to enhance the probability and statistics units. Addresses concept development, communication skills, both oral and written, and problem-solving skills in accordance with the National Council of Teachers of Mathematics (NCTM) standards.

### Goals, Topics, and Objectives

Goal Statement

- To strengthen mathematical problem solving skills pertaining to curricular topics related to the preparation of future elementary school teachers.
- To strengthen communication skills, both written and oral, of mathematical ideas.
- To strengthen mathematical competence in geometry, probability, and statistics.

Core Course Topics

- Probability
- Compute probabilities of events.
- Apply the fundamental counting principle.
- Use tree diagrams to compute probabilities.
- Apply Pascal’s Triangle to compute probabilities.
- Compute odds.
- Compute expected values.
- Use simulation to estimate probabilities in complex experiments.
- Compute combinations and permutations in problem-solving situations.

- Data Analysis / Introduction to Statistics
- Use graphs to interpret data.
- Analyze a trend line on a scatter plot.
- Analyze data using measures of central tendency.
- Analyze data using measures of dispersion.
- Create a box and whisker plot.
- Analyze a normal distribution.
- Describe ways in which bias can be introduced in sampling.

- Constructions and Congruence
- Construct geometric figures.
- Prove triangles congruent.
- Prove triangles similar.

- Motion Geometry and Tessellations
- Perform translations, rotations, reflections, and combinations of these transformations on geometric figures.
- Determine symmetry of geometric figures.
- Perform a size transformation.
- Solve geometry problems using transformations.
- Illustrate reflection and rotation symmetry of polygons, regular n-gons, and other shapes including circles.
- Describe and analyze tessellations with polygons, particularly, but not exclusively, with regular polygons.

### Assessment and Requirements

Assessment of Academic Achievement

- Pre-Education students are required to create an e-portfolio as part of their academic work at HFC. Instructors must include a minimum of three e-portfolio assignments as part of course work. These assignments will be stored in each student's e-portfolio.
- All students will be required to complete a comprehensive final examination that assesses the learning of all course objectives. This exam must be weighted in a manner so that this exam score is worth a minimum of fifteen percent (15%) of the final course grade. In selected semesters this exam may be a common exam administered to all sections of Math-225.
- Additional assessment of student achievement may include assignments, quizzes, and exams.
- Application problems must not only be included on chapter exams but also on the final exam.

General Course Requirements and Recommendations

- Application problems must be covered in all mathematics courses. Every section in any course outline that includes application problems must be covered.
- A scientific calculator is required of each student.

### Outcomes

General Education Categories

- Mathematics

Institutional Outcomes

- Quantitative Literacy

### Approval Dates

Effective Term

Fall 2019