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As the school year draws to a close, many teachers a thinking about packing up their classroom. Whether you’re staying in the same room and want things ready for the fall or moving to another grade or another school, keeping things neat and organized will help get the next year off to a good start.
Primary children are expected to learn to count, add/subtract, and solve simple word problems in mathematics. So why must a focus at this level also include measurement concepts and skills? Obviously, measurement is of great importance in our daily lives. Those who have worked with K-3 students know that measurement topics are not easy for many children to understand. Measurement must be a focus at the primary level because students need a wide variety of conceptual experiences to make sense of what they are learning; this emphasis prepares them for later work in mathematics.
When first introduced to fractions, students in the intermediate grades sometimes struggle to make sense of equivalence and fraction operations. By helping students develop a deep understanding of the role of factors in comparison and fraction operations, we also prepare them for topics that follow and that build upon this knowledge.
Many of the tools used to introduce these early fraction concepts can also be used later to help students recognize the relationships between fractions and ratios, rates, and proportions. Fractions with Prime Factor Tiles is the perfect tool to introduce and explore these concepts.
When I first started visiting elementary school classrooms, I noticed that almost all of them had a hundreds chart somewhere in the room. It might have been a pocket chart, or maybe a poster on the wall, but it was always there as an instructional tool. Then, about ten years ago, the mathematics community agreed that rather than stopping at 100, this chart should go to 120. This change would address students’ struggles with “turning the century,” helping them recognize that the number after 100 is 101 and that counting continues from there.
Helping students build an understanding of fraction concepts is a challenge in the intermediate and middle grades. The pictorial representation is a critical tool for making the connection between the concept and the procedure. Conceptual understanding occurs when students can explain why the procedure works, showing that they have assimilated or integrated this understanding into their basic knowledge of fractions.
Many years ago, I was introduced to the elements of early Reading instruction. With my background in math, I had a lot of learning to do, but I immediately saw the value in helping students build an understanding of phonics and phonemic awareness. Using hands-on tools like Unifix® CVC and Blends cubes can accelerate students’ understanding of these critical early reading skills. Together with the new Early Phonics and Phonics activity books, these resources allow students to make concrete connections to the words around them. I’ve selected just a couple of the 211 activities available in these two books to get you started with this resource. All these activities are designed to support small-group phonics instruction using the Unifix phonics cubes and Word-Building Cards.
Watching my children and students work with manipulatives, I can see how hands-on experiences with math concepts help build a solid foundation for future learning. Often, teachers and students struggle with the transition from concrete manipulatives to a representation of the concept. Web- or app-based “virtual” manipulatives help to make this transition easier, although many teachers struggle to find a place for these tools in the classroom. Hands-on manipulatives are an excellent tool on their own, and they are even more powerful when coupled with virtual manipulatives. To support the use of these virtual tools, Didax has developed more than a dozen free virtual resources, available on our website. If you need some help getting started, read on for some ideas!
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