National Council of Teachers of Mathematics
Nctm: Figure This: Don't Fall In
Have you ever wondered why manhole covers are round? Believe it or not, there is a logical, mathematical reason. See if you can figure it out in this NCTM Math Challenge for Families activity. A one-page activity with suggested life...
ABCya
Ab Cya: Light on 2
Who turned off the lights? Well, we'll need your help turning them back on. Use logic and reasoning to light up the rooms with the different tools provided. Are you bright enough to complete this challenging puzzle game?
Oswego City School District
Regents Exam Prep Center: Negation: Not
Use this website to help you hone your critical thinking and math-problem solving skills. Learn what "Negation," is and how it applies when you are working on mathematical problems and sentences.
PBS
Pbs Mathline Lesson: Mix It Up [Pdf]
A lesson based on the story, "Oliver's Fruit Salad," where young scholars explore the concept of proportional reasoning through modeling, student sharing, and questioning. A great introductory lesson for this concept that is sure to...
National Council of Teachers of Mathematics
Nctm: Figure This: Vcr
This resource presents an interesting challenge for the serious mathematician with strong reasoning skills. Explore proportional reasoning, probabilities, fractions, and ratios in this challenge to figure out if you always get six hours...
ABCya
Ab Cya: Hook
Hook a is beautifully unique and simple game that will keep you thinking for hours. The goal is to remove the hooks in the correct order, so they do not get "hooked" on anything.
ABCya
Ab Cya: Robo Trobo
Robo Trobo is a problem solving game for kids of all ages. Kids will need to guide Robo through complex puzzles in order to complete the different levels. Have fun and think outside the box!
Math Slice
Math Slice: Smart Guess Game
Can you guess the correct number between 1 and 99 in less than 30 tries? Play this fast paced, interactive game that tests your number sense and reasoning skills. If your are a great guesser, your name will be posted.
University of Cambridge
University of Cambridge: Nrich: Cubes Within Cubes
On this one page website sharpen your logic, geometry, spatial thinking, and problem solving skills while working on this challenge. The solution is available to double check your solution.
PBS
Pbs Mathline: Bead Dazzling (Proportional Reasoning) [Pdf]
A comprehensive lesson plan on algebraic thinking where students create and identify patterns using proportional reasoning. Research based, this lesson plan includes technology connections, items for discussion, and extension activities.
Other
Puzzle Parlor
Find a collection of colorful, interactive, challenging puzzles: Hexnut Jr., Quintapaths, Roundominoes, and others.
NASA
Nasa Smartskies: Line Up With Math: Math Based Decisions in Air Traffic Control
In association with NASA, LineUp With Math presents problem sets which 'enable students to explore and apply decision-making and reasoning skills, specifically to resolve distance-rate-time conflicts in air traffic control'. An...
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra
This tutorial for students new to algebra provides explanations, definitions, examples, and practice problems. The practice tests cover topics such as real numbers, fractions, equations, graphing, and exponents.
Maths Challenge
Maths challenge.net: Right Angle Reasoning
A geometry problem for students to use their mathematical reasoning skills to explain a right triangle property.
University of Cambridge
University of Cambridge: Nrich: Amy's Dominoes
On this one page website sharpen your logic and problem solving skills while working on this challenge. The solution is available to double check your solution.
University of Cambridge
University of Cambridge: Nrich: Game Fifteen
Sharpen your problem solving and strategy skills playing this interactive game, Fifteen. The rules are simple but the game requires some thinking if you want to beat the computer. There is a "Printable Page," link if you want to print it...
University of Cambridge
University of Cambridge: Nrich: Mixed Up Socks
Your reasoning skills will come in handy as you find solutions to these "sock" problems. Solutions are available on this one page website.
University of Cambridge
University of Cambridge: Nrich: Game Pumpkin Patch
Sharpen your problem solving and strategy skills playing this Somali game, Pumpkin Patch. The rules are simple but the game requires some thinking. There is a "Get Printable Page," link at the top to print out the materials you need.
National Council of Teachers of Mathematics
Nctm: Figure This: Tan, Don't Burn
How about a math challenge for a sunny day at the beach? Apply your problem solving, number sense, and logical reasoning skills to find out how long it would take Helix to get sunburned using SPF 10 lotion. Discover why understanding...
University of Cambridge
University of Cambridge: Nrich: A Flying Holiday
Some may think this problem is for the birds but you will need to use your problem solving skills to come up with a reasonable answer. Then check this one page website for the solution.
University of Cambridge
University of Cambridge: Nrich: Game Counter Roundup
Sharpen your problem solving and strategy skills playing this interactive game, Counter Roundup. The rules are simple but the game requires some thinking if you want to beat the computer. There is a "Get Printable Page," link at the top...
University of Cambridge
University of Cambridge: Nrich: Two Stones Game
Sharpen your problem-solving and strategy skills while playing the interactive game, Two Stones. The rules are simple, but the game requires some thinking if you want to beat the computer. Watch as the play proceeds to see what it takes...
University of Cambridge
University of Cambridge: Nrich: Daisy Game
Sharpen your problem solving and strategy skills by playing this interactive game. The game's rules are simple, but play requires some thinking if you want to beat the computer. You can change the settings and see if your strategy works...
Other
Websudoku
A fun puzzler to get any mind thinking logically! Try many levels of puzzles using the following rules: "Enter digits from 1 to 9 into the blank spaces. Every row must contain one of each digit. So must every column, as must every 3x3...