Pattern Explorer is one workbook, from The Critical Thinking Company While their other workbooks were equally engaging, I felt this one was the most appropriate level for my kids. Their workbooks are unique because they are designed to teach kids how to think. This one really works! I would recommend it as well as trying others.
Pattern Explorer comes in Levels 1 and 2. The Level 2 book pictured here is geared towards students studying pre-algebra or algebra. Each page contains several picture problems such as the one shown below. The top problem on the left shows a series of figures containing solid and transparent circles. The student is asked how many shaded and total circles appear in later stages of the series.
This may seem like quite a difficult question, but the table below the figures assists the students in finding the answer by helping to recognize patterns. Once the table is completed it becomes much easier to see how the number of circles in later figures is determined.
The page on the right above shows a different type of problem in the book. The balance problem works a little like solving a algebraic problem in which you can divide both sides by the same number, or subtract the same number from both sides. For example, the top problem asks how many diamonds will balance a pentagon. One pentagon sits on the top left scale balancing four triangles. Two triangles balance three diamonds on the other scale. To solve the problem, students must figure out how the different shapes relate to each other. Students can arrive at the same answer thinking about the problem in different ways.
In addition to these two types of problems, the book contains sequence problems, function problems and number problems all designed to teach kids to think. As a child I was always good at math, and now I have kids who are good at math. These books are excellent for kids excelling in math, but would also be good for those struggling as they approach problems in a pictorial way that appeals to the brain in a different way.
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