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Re:Five-Year-Olds Can Learn Calculus (2014) by jasongrout on Tuesday September 05, 2017 @09:35AM (#15174910)
One of the best curriculums I've seen for children (grades 2-5) learning math is the Beast Academy series: https://beastacademy.com/

They have challenging problems that emphasize basic and advanced concepts in a variety of ways, often posed as games or puzzles.

Re:Five-Year-Olds Can Learn Calculus (2014) by aethertap on Tuesday September 05, 2017 @09:59AM (#15175192)
I can second this, with a minor caveat. My daughter (third grade) loves these books, and we get a lot of good problem-solving into the curriculum as a result. The caveat, in my opinion, is that they don't provide enough cyclic review in their default configuration.

Each chapter includes 80-100 problems, divided in to usually between 4-8 sections. The problems are great, but once a section is complete they're weak on later refreshes. I've been working around this by doing even-numbered problems the first time through a section, then half of the odds a few days later when we're a couple of sections downstream, then selecting randomly from all of the unfinished problems in the entire curriculum for just a couple of extra "old stuff" problems each day throughout the year. We also supplement with a number of other great resources, if you're looking to implement a more problem- and exploration-oriented math curriculum:

1. Kitchen Table Math is great for selecting concepts to lead number talks with (for building number sense - this is the first part of our day)

2. Saxon has excellent spaced-repetition exercises for shoring up the calculation side of things, and giving the student some easy wins for confidence building (we typically use Saxon's material as a warmup before Beast Academy)

3. Thinking Mathematically (the one by J. Mason and L. Burton) has a unique and useful mental process for attacking hard problems when you're not handed a nice formula to plug things into. Once a week, we work through a hard problem using the method in this book.

4. I haven't worked it in yet, but Arthur Benjamin's "Secrets of Mental Math" has a lot of stuff in it that will solidly connect arithmetic and algebraic thinking later.

Re:Five-Year-Olds Can Learn Calculus (2014) by barry-cotter on Tuesday September 05, 2017 @10:29AM (#15175524)
Are you home schooling? If not your daughter must be bored out of her mind at school.