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Place value is the foundation for our number system all operations multiplication addition etc build on top of it we dont want our math house to have a weak foundation and risk it coming down on us when we get to a tricky math concept we want a firm foundation. Building a foundation in mathematics hardcover by njatc njatc very good 439 free shipping seller 991 positive building a foundation in mathematics 470 399 shipping seller 994 positive building a foundation in mathematics hardcover 658 free shipping seller 993 positive. 04 the foundations of mathematics the foundations of mathematics involves the axiomatic method this means that in mathematics one writes down axioms and proves theorems from the axioms the justi fication for the axioms why they are interesting or true in some sense or worth studying is part of the motivation or physics or philosophy . Math is a tough subject for many people among homeschooling parents math is perhaps the most debated curriculum largely because it is one of the difficult subjects to teach most online curricula provide different approaches