concepts and methodology in mathematics education - Nelson ...
concepts and methodology in mathematics education - Nelson ...
concepts and methodology in mathematics education - Nelson ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
20. Discover<strong>in</strong>g MULTIPLES us<strong>in</strong>g the hundred grid ........................................................................................... 3921. Integers ......................................................................................................................................................... 3922. Inf<strong>in</strong>ity ........................................................................................................................................................... 4023. Identity Elements .......................................................................................................................................... 4024. Number Trees <strong>and</strong> a Circular Number Diagram ........................................................................................... 4125. Practice <strong>and</strong> Reflection ................................................................................................................................. 4426. Summary <strong>and</strong> Def<strong>in</strong>itions of some of the types of numbers ........................................................................ 45UNIT 2 .................................................................................................... Error! Bookmark not def<strong>in</strong>ed.Integers .......................................................................................................... Error! Bookmark not def<strong>in</strong>ed.1. Introduction ..................................................................................................... Error! Bookmark not def<strong>in</strong>ed.2. Integers ............................................................................................................ Error! Bookmark not def<strong>in</strong>ed.3. Negative numbers <strong>in</strong> real life ........................................................................... Error! Bookmark not def<strong>in</strong>ed.4. Practical examples <strong>in</strong> Real Life with draw<strong>in</strong>gs/figures/sketches ..................... Error! Bookmark not def<strong>in</strong>ed.5. Models for add<strong>in</strong>g <strong>and</strong> subtract<strong>in</strong>g <strong>in</strong>tegers .................................................... Error! Bookmark not def<strong>in</strong>ed.6. Represent<strong>in</strong>g <strong>in</strong>tegers on the number l<strong>in</strong>e ...................................................... Error! Bookmark not def<strong>in</strong>ed.7. Calculat<strong>in</strong>g on the number l<strong>in</strong>e ........................................................................ Error! Bookmark not def<strong>in</strong>ed.8. Multiplication: so what is happen<strong>in</strong>g to the signs? ......................................... Error! Bookmark not def<strong>in</strong>ed.9. Division: so what is happen<strong>in</strong>g to the signs? ................................................... Error! Bookmark not def<strong>in</strong>ed.10. The POKER CHIP Model ................................................................................... Error! Bookmark not def<strong>in</strong>ed.11. Practical application of <strong>in</strong>tegers <strong>in</strong> real life ..................................................... Error! Bookmark not def<strong>in</strong>ed.UNIT 3 .................................................................................................... Error! Bookmark not def<strong>in</strong>ed.Patterns, Relationships <strong>and</strong> Language Development.................................... Error! Bookmark not def<strong>in</strong>ed.1. Introduction ..................................................................................................... Error! Bookmark not def<strong>in</strong>ed.2. Abstract Number Patterns ............................................................................... Error! Bookmark not def<strong>in</strong>ed.3. Abstract Number Patterns <strong>in</strong> Tables (determ<strong>in</strong>e a formula) ........................... Error! Bookmark not def<strong>in</strong>ed.4. Visual or Non-Abstract Number Patterns ........................................................ Error! Bookmark not def<strong>in</strong>ed.5. Patterns with Cubes ......................................................................................... Error! Bookmark not def<strong>in</strong>ed.6. Patterns <strong>in</strong> our town ........................................................................................ Error! Bookmark not def<strong>in</strong>ed.7. Patterns <strong>in</strong> build<strong>in</strong>g letters .............................................................................. Error! Bookmark not def<strong>in</strong>ed.8. Patterns <strong>in</strong> build<strong>in</strong>g crosses ............................................................................. Error! Bookmark not def<strong>in</strong>ed.9. Extension of Number Concept Development <strong>and</strong> description of Pattern Formations .. Error! Bookmark notdef<strong>in</strong>ed.10. Develop<strong>in</strong>g language <strong>and</strong> number concept us<strong>in</strong>g a calendar page ................. Error! Bookmark not def<strong>in</strong>ed.UNIT 4 .................................................................................................... Error! Bookmark not def<strong>in</strong>ed.History of Numbers ....................................................................................... Error! Bookmark not def<strong>in</strong>ed.1. Introduction ..................................................................................................... Error! Bookmark not def<strong>in</strong>ed.2. The Orig<strong>in</strong> of Numbers .................................................................................... Error! Bookmark not def<strong>in</strong>ed.3. Count as the ancient men did .......................................................................... Error! Bookmark not def<strong>in</strong>ed.4. The Egyptians <strong>and</strong> count<strong>in</strong>g ............................................................................. Error! Bookmark not def<strong>in</strong>ed.5. The Romans <strong>and</strong> the Roman Numerals ........................................................... Error! Bookmark not def<strong>in</strong>ed.6. H<strong>in</strong>du-Arabic numeration system .................................................................... Error! Bookmark not def<strong>in</strong>ed.UNIT 5 .................................................................................................... Error! Bookmark not def<strong>in</strong>ed.Basic Operations <strong>and</strong> BODMAS ..................................................................... Error! Bookmark not def<strong>in</strong>ed.
Change language