When multiplying fractions, the result of the multiplication does not always look the way a student might predict this is an area where using concrete visual representations when teaching fractions can help a student connect to the idea that numbers can have multiple equivalent representations and can be written in many equivalent forms. In mathematics, any quantity can be represented in many different ways, and this is a critical piece of understanding that students will need to build upon as they move on to middle school, high school, and even into college mathematics. Strategies for Teaching Fractions: Equivalent FractionsĪlong with understanding that fractions are built upon whole numbers, students should grasp that they can rewrite the values of fractions into multiple equivalent representations of the same number. Multiplication and Division with Fractions.Addition and Subtraction with Fractions.The video clip above delves deeper into teaching fractions as being fundamentally connected to whole numbers, specifically exploring: One of the challenges of teaching fractions is helping students understand that fractions are built upon whole numbers. Strategies for Teaching Fractions: Connecting Fractions with Whole Numbers Using number lines as a visual aid while explaining fractions helps to drive this concept home. Number Lines: Students need to understand that fractions are numbers, and that you can count them in just the same way that you can count whole numbers.Area Models: Help students to visualize multiplication of fractions.Tape Diagrams and Circle Diagrams: Connect the concrete to the visual with these fluency-building fraction activities.Paper Folding: Concretely represent a fraction as part of a larger whole.In this webinar, Ballard explores some of his favorite models for explaining fractions, including: (You may know this as Concrete Representational Abstract, or CRA.) Physical and visual models can help guide students through that process and build fluency. ![]() ![]() Research shows that students are most proficient in learning areas of mathematics, including fractions, when their learning progresses through a process of Concrete -> Visual -> Abstract and where discourse includes all three of these elements. The Importance of Using Visual Models When Teaching Fractions Why it is important to demonstrate equivalent representations of numbers when teaching fractionsīelow is a preview of some of the various topics covered in this webinar.How to use fluency-building fraction activities to engage students when explaining fractions.Strategies for teaching fractions by connecting the abstract to the concrete with physical and visual models.
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