concepts and methodology in mathematics education - Nelson ...

Table of ContentsLearn<strong>in</strong>g Outcome (Content Area) 1: Number Operations <strong>and</strong> Relationships .......................................................... 1Learn<strong>in</strong>g Outcome (Contents Area) 2: Patterns, Functions <strong>and</strong> Algebra ................................................................... 1STUDY LETTER 2012 .......................................................................................................................... 5Contact Details of Lecturers ....................................................................................................................................... 5Email Communication ................................................................................................................................................ 5Deadl<strong>in</strong>es, Assignments <strong>and</strong> Tests ............................................................................................................................. 5Portfolio File ............................................................................................................................................................... 6Duplicate Copies ........................................................................................................................................................ 6Absenteeism .............................................................................................................................................................. 6Proposed Plann<strong>in</strong>g for 2012 ....................................................................................................................................... 8INTRODUCTION (forms part of Unit 1) ............................................................................................... 9Concepts <strong>and</strong> Methodology <strong>in</strong> Mathematics Education (B Ed IP) ............................................................... 9The Mathematics Learn<strong>in</strong>g Area (Content Area) .............................................................................. 11Foci <strong>and</strong> Outcomes (Content, <strong>and</strong> skills foci) ............................................................................................ 11Assessment of Module PICM201 ............................................................................................................................. 12Learn<strong>in</strong>g Outcomes of this Module .......................................................................................................................... 12Assessment St<strong>and</strong>ards (Content <strong>and</strong> Skills Foci) ...................................................................................................... 13Introductory Discussion ........................................................................................................................................... 14What is Mathematics? ............................................................................................................................................. 15Teach<strong>in</strong>g <strong>mathematics</strong> <strong>in</strong> the Intermediate Phase .................................................................................................. 15How do we create a classroom climate that is conducive to learners reach<strong>in</strong>g their full potential? ..................... 16UNIT 1 ............................................................................................................................................ 17Whole Number Development ................................................................................................................... 171. Introduction .................................................................................................................................................. 172. The Curriculum Assessment Policy Statement (CAPS) for the Intermediate Phase (IP) .............................. 183. Self-Reflection dur<strong>in</strong>g contact session .......................................................................................................... 204. Create MATHEMATICAL def<strong>in</strong>itions .............................................................................................................. 225. Sets of numbers ............................................................................................................................................ 236. Odd <strong>and</strong> Even numbers ................................................................................................................................ 247. Sieve of Eratosthenes <strong>and</strong> Prime Numbers Below 100 ................................................................................ 268. Prime Numbers ............................................................................................................................................. 279. Factors .......................................................................................................................................................... 2810. Prime Factors ................................................................................................................................................ 2911. Prime Factorisation ....................................................................................................................................... 3212. Factors <strong>and</strong> Factorisation: What is the difference? ...................................................................................... 3313. How to check whether a number is a Prime Number .................................................................................. 3414. Composite Numbers ..................................................................................................................................... 3515. Perfect Squares ............................................................................................................................................. 3516. Triangle Numbers ......................................................................................................................................... 3617. Perfect Numbers ........................................................................................................................................... 3718. Squares <strong>and</strong> Square Roots; Cubes <strong>and</strong> Cube Roots ...................................................................................... 3719. How well do you know your set of numbers? .............................................................................................. 38