Product Description
<b>Semantic Categories (or Schemas) have dominated the teaching of math word problems for over 50 years.<br><br>But, what if I told you they are a misconception? This book provides the proof, and will change your view of math word problems in a profound way.<br><br>It describes 21 different types of word problems that can be distinguished based on their <u>math</u> structure, only 3 of which can be categorized based on their <u>Semantic</u> Structure.<br><br>The major reason these problem types have not been identified before is that a surprising, yet obvious fact has been overlooked: Two, and only two, different math relationships exist among quantities representing two physical groups (A and B) and a third number derived from them:</b><br><br> <b>A Total Relationship: A + B = Total<br><br> A Difference Relationship: Difference + A = B<br><br>These relationships are the basis for distinguishing between word problems based on their math structure, which consists of three elements:</b><ul><li><b>How the physical groups are defined</b></li><li><b>The math relationship among the two physical groups and the third number derived from them (shown above).</b></li><li><b>The assignment of quantities to represent the physical groups and the derived number.</b></li></ul>
