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Math Curriculum from Elementary through Middle School and beyond
By an Amazon.com customer
Earlybird Kindergarten Mathematics, Vol. 1AEarlybird Kindergarten Mathematics, Vol. 1A
The Kindergarten math program from Singapore (US edition); consists of four books: 1A,1B,2A,2B. From 1A, I learned what whole numbers *really* are.
Primary Mathematics 1A Textbook (Singapore Math)Primary Mathematics 1A Textbook (Singapore Math)
Buy used from: $3.00
"Primary Math" from Singapore (US edition) seems the only elementary math program in the US that does not cause a mathematician to cringe in embarrassment. Use the core program only. It has 1 textbook / 1 workbook per semester for grades 1 through 6. Luckily, PM is not only correct mathematically, but is a pedagogical masterpiece too.
Arithmetic for Parents: A Book for Grownups about Children's MathematicsArithmetic for Parents: A Book for Grownups about Children's Mathematics by Ron Aharoni
Buy new: $29.95 / Used from: $19.99
Use in lieu of "teacher's guide" to "Primary Math" from Singapore. The author has a unique experience of a research mathematician and elementary school teacher.
Elementary Mathematics for TeachersElementary Mathematics for Teachers by Thomas H. Parker
Buy used from: $17.39
A more formal "teacher's guide" (written, again, by research mathematicians): a superb textbook in curriculum development modeled on "Primary Math" from Singapore.
AlgebraAlgebra by Israel M. Gelfand
Buy new: $26.93 / Used from: $21.00
Use for Algebra-1. It is a masterpiece from a key figure in mathematics of the past century (Israel Gelfand), and a prominent researcher, author, and teacher of *the* best Moscow school (Alexander Shen).
Kiselev's Geometry / Book I. PlanimetryKiselev's Geometry / Book I. Planimetry by A. Kiselev
Buy new: $39.95 / Used from: $65.73
Adaptation of the most successful Russian textbook that has been in active use for several generations. Start slowly in grade 7 and stretch through grade 9. Makes one immune to the "math was not my best subject" virus.
TrigonometryTrigonometry by I.M. Gelfand
Buy new: $22.00 / Used from: $18.99
An excellent book on this subject by Israel Gelfand and Mark Saul - I don't know of any competing choice.
Kiselev's Geometry / Book II. StereometryKiselev's Geometry / Book II. Stereometry by A. P. Kiselev
Buy new: $35.00 / Used from: $63.19
The solid geometry part of the classical textbook from Russia supplemented by a new chapter about vectors, logical foundations of geometry, and introduction to non-euclidean geometry. Grades 10-11.