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How Can I Help my Child Think Critically in Math?
Ask your child to explain what they know about the problem.
“Tell me what the problem is, and help me understand how you are
thinking about it. What do you think we need to do?”
o This encourages the student to take the first step in analyzing the
problem. They usually know more than they think they know.
• Have you seen a problem like this before?
• How did you get your answer?
• Are there alternative solutions to the problem? If so, what are they?
• Can you figure out another way to do that problem?
• Is this the most important question to ask when solving the problem?
• What questions need to be answered before answering this question?
• Does your answer make sense? Is it reasonable?
• What was easy about that problem? What was difficult?
• Could we play that game another way? A better way?
Listen more than you talk! Let your child struggle through the problem – be their support without giving the answers.
Websites for Critical Thinking in Math Figure This – Math Challenges for Families – over 80 mathrelated challenges to work on together: http://www.figurethis.org/fc/family_corner.htm http://www.figurethis.org/challenges/challenge_index.htm NRICH – enriching mathematics – wonderful site for students of all ages for challenges and problemsolving and engaging games http://nrich.maths.org/frontpage Critical Thinking Activities in Patterns, Imagery, and Logic Downloadable book with logic and puzzle problems http://home.comcast.net/~ekleidon/Extra/Critical%20Thinking.pdf OPENENDED
QUESTIONS FOR
MATHEMATICS Arsi Resource Collaborative http://www.uky.edu/OtherOrgs/ARSI/www.uky.edu/pub/arsi/openresponsequestions/mathorq.pdf Using Internet Primary Sources to Teach Critical Thinking Skills in Mathematics by Evan Glazer – an excellent source for critical thinking projects for grades 612. http://ondisaondi.files.wordpress.com/2011/11/using-internet-primary-sources-to-teach-critical-thinking-skills-in-mathematics-greenwood-professional-guides-in-school-librarianship.pdf Help your Child Learn Math by Patsy F. Kanter – Online book with many familybased activities that incorporate reallife problem solving activities http://www.arvindguptatoys.com/arvindgupta/helplearnmaths.pdf
Math Playground – There is a logic puzzle section to this vast website which has a lot of interesting math practice games. http://www.mathplayground.com/logicgames.html The Math Forum – this is a pay site, but it offers great problems and puzzles for students of all ages. http://mathforum.org/index.html Bedtime Math – A nightly bedtime math story posted or emailed every night! http://www.bedtimemath.org
Other Resources to Support Critical Thinking
Ipad/iphone Apps MathLands Kids Logic Game & Brain Builder for Math and Critical
Thinking By Mamanijo – puzzles and problem solving – some free, with
add‐ons for $0.99
Where’s my Water? By Disney/Where’s my Perry? By Disney (both
$0.99)
Brain School ™ Ultimate Brain Trainer! 1.02 – Free, with optional
add‐ons
70 Logic Games – Time Killers – Free Brain Teasers Puzzle pack by
Andrea Sabbatini ‐ Free
Brain Games 2 Puzzles and Riddles by Bakhram– Free, with optional
add‐ons
Sodoku – many available versions, most are free
Cut the Rope by Chillingo Ltd ‐ $0.99
Move the Box by Otizito LLC – Free, but with add‐ons for $0.99 or $1.99
UnoLingo– Free, with optional add‐ons for $0.99
Solitaire ‐ many available versions, most are free
Television Shows
MythBusters – Discovery Channel
Unchained Reaction – Discovery Channel
Food Network Challenge – Food Network
Cupcake Wars – Food Network
Design Star ‐ HGTV
Websites www.thekidshouldseethis.com ‐ Kid friendly videos about science, nature, music, art, and math that will astound and amaze you and your children – great starter for questions, conversations, experiments, and explorations that you can have at home. www.brainpop.com/games ‐ free online games for multiple subject areas, most of which involve critical thinking Books Teach Your Kids to Think! Simple Tools You Can Use Every Day by Maria Chesley Fisk Good Questions for Math Teaching ‐ Why Ask Them and What to Ask by Peter Sullivan and Pat Lilburn ‐designed for teachers, but a great resource for parents, as well Read Well, Think Well – Build Your Child’s Reading, Comprehension, and Critical Thinking Skills by Hal W. Lanse, Ph.D. Thinking Games to Play with Your Child –Easy Ways to Develop Creative and Critical Thinking Skills by Cheryl Tuttle, M. Ed. And Penny Paquette