QuirkyMama,
May I suggest Ray’s New Primary Arithmetic along with Ruth Beechick’s Teacher’s Guide for an inexpensive roadmap? When introducing new concepts, use concrete objects found in your own home – those will be free (pennies, beads, buttons, craftsticks, matchsticks to name a few). If you find that your son is gaining real mathematical thinking, the Ray’s series can be continued into jr. high and even business math in highschool.
Here are some things to remember about manipulatives from Charlotte Mason’s point of view:
Though the term math manipulative did not exist in Charlotte’s time, the use of concrete objects as aids in conveying ideas is significant in her method of teaching arithmetic.
- All the manipulatives you need can be found in your own home—beads, buttons, and craft sticks to name just a few. A variety of simple objects should be used rather than a single specially-designed manipulative so the child doesn’t form a hard-and-fast connection between the math facts and the manipulative.
- Manipulatives are only a tool to the presentation or investigation of an idea. If a manipulative’s use requires too much teaching, it becomes more important than the idea it is to represent.
- Arithmetic tables should not be memorized until the child proves the facts first through the use of manipulatives.
- Allow your child enough time to work with the manipulatives but then progress to working with imaginary objects. Once the child can mentally picture the number, or has grasped the abstract, put away the manipulative until the introduction of a new concept.
“A bag of beans, counters, or buttons should be used in all the early arithmetic lessons, and the child should be able to work with these freely, and even to add, subtract, multiply, and divide mentally, without the aid of buttons or beans, before he is set to ‘do sums’ on his slate” (Vol. 1, p. 256).
Warmly,
Richele