MCCCD Program Description

Teaching Data Analysis, Probability and Discrete Mathematics Grades K-8

Course: EPD253

First Term: 2023 Fall

Lecture 3.0 Credit(s) 3.0 Period(s) 3.0 Load
Subject Type: Academic
Load Formula: S - Standard Load

Description: Focus on knowledge and skills for data analysis, probability and discrete mathematics concepts for grades K-8. Covers statistics, sampling, systemic listing and counting, and vertex edge graphs. Emphasis on State Academic Math and Common Core Standards. Includes practical application of teaching strategies for elementary students as well as teachers of mathematics.

MCCCD Official Course Competencies
1. Identify current State Academic Math Standards for grades K-8. (I) 2. Assess various mathematics teaching resources available for data analysis, probability, and discrete mathematics. (II) 3. Use various teaching resources to teach data collection and interpretation to elementary students. (II-III) 4. Design a specific grade level curriculum map for integrated data. (III) 5. Compare and contrast various ways of displaying a set of data. (III) 6. Interpret and analyze data. (III) 7. Design a specific grade level curriculum map for probability. (III) 8. Apply basic concepts of probability. (III) 9. Differentiate between theoretical and experimental probability. (III) 10. Describe various teaching strategies used to teach probability to elementary students. (III-IV) 11. Design a specific grade level curriculum map for discrete mathematics. (III) 12. Represent and solve problems using vertex edge graphs. (IV) 13. Use various teaching resources to teach strategies for systematic listing and counting. (III-IV) 14. Establish a learning environment for mathematics activities. (II-VI) 15. Create and teach a specific grade appropriate data lesson plan. (I-VI) 16. Create and teach a specific grade appropriate probability lesson plan. (I-VI) 17. Create and teach a specific grade appropriate vertex edge graph lesson plan. (I-VI) 18. Evaluate the field experience. (VI)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
I. State Board of Education A. Academic Math Standards B. Common Core Standards II. Resources A. Textbooks B. Internet/Computers/Software C. Professional Literature D. Other III. Mathematics Curriculum A. Data 1. Collection 2. Display 3. Analyzing 4. Interpretation 5. Prediction 6. Descriptive Statistics 7. Sampling B. Probability 1. Theoretical 2. Experimental C. Systematic Listing and Counting 1. Multiplication Principle 2. Factorial Notations 3. Permutation and Combinations 4. Venn Diagrams D. Vertex Edge Graphs 1. Coloring 2. Properties 3. Problem Solving IV. Teaching Strategies A. Match to Subject Matter B. Concepts and Generalizations C. Math Skills D. Developmental Levels E. Diverse Needs F. Asking Questions G. Encourage Critical Thinking V. Lesson Plans A. Preparation B. Objectives C. Teaching Procedures D. Learning Activities E. Material F. Assessments G. Remedial Activities H. Enrichment Activities VI. Application A. Classroom Observation B. Classroom Participation C. Reflection

MCCCD Governing Board Approval Date: December 13, 2022

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.