The Math Learning Center Blog

The 3Rs—Reading, wRiting, and aRithmetic—have been foundational in education for thousands of years. My recent book, The Fourth R , adds to that list Reasoning/computational thinking. It concerns using human brains and computer brains, individually and working together, to solve problems and accomplish thoughts. Like each of the traditional 3Rs, computational thinking is both a discipline of study...

Children need lots of practice, with various activities in different settings, to develop a strong sense of number. My kindergartners love an activity I call Estimation Bag. I place a small plastic container inside a canvas bag, and a student adds a single type of object: paperclips, pennies, barrettes, etc. We start with 10 or fewer and increase the quantity to between 10 and 20 after a month or...

Bridges students learn more than one way to solve multi-digit multiplication expressions. This enables them to select the strategy that is most efficient for any given problem. In addition to the standard algorithm that many of us were taught, fifth graders also investigate: Area model & four partial products Doubling & halving Ratio table Using quarters Over strategy While my students use the new...

The array model, used throughout Bridges, is the subject of “Arrays, Multiplication and Division” by Jennie Pennant from nrich.maths.org. The piece outlines how the array model supports development of a sense of multiplicative relationships and describes how to move students from building multiplication facts and tables to exploring division as the inverse operation of multiplication. The author...