我們將使用的課本是 Ray’s New Intellectual Arithmetic，這是Ray’s Arithmetic series算術系列的第二冊。
如果您不熟悉 Ray’s Arithmetics，其實它在19世紀中到20世紀初的美國與McGuffey Readers 系列配套使用。幾代的兒童和成年人都是使用這系列學習數學。這意味著幾代的科學家、工程師、商人、企業家、政治家和家庭主婦都從中受益。這系列廣受歡迎並被廣泛的使用，直到1920年代「進步法」教育理論開始取代它們，但它們繼續受在家自學群體的喜愛和使用。
Ray’s New Intellectual Arithmetic 數學就是這樣。它強調腦力「智力」數學。在Primary Arithmetic – G1 和G2 —— 使用視覺和「具體」手段教授數字和數學的基礎知識；Intellectual Arithmetic 使用反覆的訓練和練習理解並解決數學問題，幫助學生進階到下一個階段。
G3 數學涵蓋Ray’s New Intellectual的前26課。
Grade 3 Math is designed to help your child gain proficiency and skill at working with higher numbers using the four basic operations of addition, subtraction, multiplication and division they have learned, as well as ways of writing out problems which involve these operations; also reading, writing and mentally solving problems involving simple fractions.
Mastery of these skills will be crucial to your child’s math success. It will help him to be better prepared to tackle higher mathematics later on. And it will ensure a solid math foundation he will appreciate and rely on for the rest of his life.
The textbook we’ll be using is Ray’s New Intellectual Arithmetic, the second volume in the Ray’s Arithmetic series.
If you are unfamiliar with Ray’s Arithmetics, these were widely used as a companion series to the McGuffey Readers in mid-19th- to early 20th-century America. Generations of children — and adults — learned math from them. This means generations of scientists, engineers, businessmen, entrepreneurs, statesmen and homemakers learned from them. The books remained popular and in widespread use until the 1920s when “progressive” education theories began to replace them and the methods taught in Ray’s. They continue to be popular in the home-schooling community.
Ray’s Intellectual math is just that. It stresses mental (“intellectual”) math. Whereas the Primary Arithmetic — grades 1 and 2 — taught the basics of numbers and math using both visual and “concrete” means, Intellectual Arithmetic helps the student to advance to the next level of his understanding of math using drill and practice at solving problems mentally as well as on paper.
Through the use of drill and “story problems,” math concepts are learned gradually. Your child will find that the story problems seem more like riddles and mysteries to be solved rather than math problems. Repetition is used throughout.
“Over-learning” is the key to mastery.
Grade 3 Math covers the first 26 lessons of Ray’s Intellectual Arithmetic. The first five lessons of the course are available to you for free, click here.