Maths concepts can be taught mentally very well and without textbooks until about 12 years old.

times tables – rap rote, skip counting … also division

Rolling dice and getting him to visualise the number rather than counting them individually.

mental arithmetic is excellent :: if i have this many and you eat this many … how many left?

Use fingers to show patterns, skip jumping/counting, read stories with maths concepts in them, read recipes.

Baking

Make a pizza pie together, make symmetrical patterns with toppings? and teach basic ideas of fractions. 1/2 pie – 2 pieces the same size …

MEASUREMENT (give them a real tape measure at 5/6 yo, with the OSH talk)

tape measure – arms, legs, strides; door posts, table height, step treads, etc ..

How long is your thumb in centimetres? how long is your cubit? stride? doorway

estimation … sensible answer?

How many wheels on those 3 trucks and 4 cars …? How many legs on those bugs …?

gardening, planting, design …

patterns and series, eg diff types of leaves, 10×10 (100 block) colour in …

map / atlas reading – note scale, NESW, distances/time, latitude / longitude, poles …

bus timetables – how long to go from A > B… every how many minutes …

for fun, learn to count to twelve or twenty in 5 different languages

draw shapes w/ruler, pencil, protractor, and compass

Big and Bigger numbers : what does 1000 look like? 1,000,000 …

consider big counting questions. How many chickens killed every day in NZ/the USA? How many trees in a particular forest? How many glasses of water before a particular water reservoir runs out?
Keep mathematics as an everyday part of life. The siloing (isolating or separating off) of maths and other disciplines is what sucks the joy, discovery, and relevance out of them. http://learningreimagined.com/conradwolframmathsreimagined/
Of course you could use YouTube and Textbooks, but keep the interest and fun factor high.
http://www.mathscentre.co.nz/
http://www.interest.co.nz/calculators
http://libguides.unitec.ac.nz/diymaths/integers
http://gregtangmath.com
http://www.scholastic.com/teachers/topteaching/2013/12/usinglegobuildmathconcepts
http://www.youtube.com/user/MyWhyU
http://www.mathsisfun.com/
—
Filed under: Creative, homeschool parents, homeschool students, Homeschooling  Tagged: fractions, Homeschooling, mathematics, measurement  Comments Off on Ways to do Homeschool Mathematics (without a Textbook)