One benefit of concrete learning is it promotes discussion, which allows students to talk through and explain math concepts. However, concrete learning is equally important with older learners as it is with younger learners! ALL students benefit from learning math concepts in a concrete way, as opposed to just memorizing a procedure. T here is a common misconception that older students do not need to use manipulatives and that they are just for the younger grades. The CPA Approach makes learning math accessible to all students, including those with math learning disabilities. By using concrete materials students are able to ‘see’ the math, and make sense of what is happening. Math is abstract and can be confusing for students! That's why providing concrete learning is so important in teaching elementary math. It is sometimes called the “symbolic” stage. It is sometimes referred to as the “seeing” stage.Ībstract: Solving math problems using only numbers. Pictorial: Using drawings to solve math problems. This is a ‘hands-on' approach using real objects and it is the basis for understanding math concepts. It’s learning that transitions from concrete materials, to pictorial representations, to abstract symbols and problems.Ĭoncrete: Using physical objects to solve math problems. The CPA Approach builds on a child's existing knowledge by introducing abstract concepts in a concrete and tangible way. Jerome Bruner proposed this approach as a means of scaffolding learning. identify the faces of a solid figures.The CPA Approach was created by psychologist Jerome Bruner and stands for concrete, pictorial, and abstract learning. differentiate solid figures from plane figures ģ. visualize and describe the different solid figures: cube, prism, pyramid, cylinder, cone and sphere using various concrete and pictorial models Ģ. But the order in which you study them can be changed to match with the textbook you are now using.Īfter going through this module, you are expected to:ġ. The lessons are arranged to follow the standard sequence of your course. The language uses appropriate diverse vocabulary level. The scope of this module discusses different applications of solid figures. It will help you master the skills to visualize and describe the different solid figures: cube, prism, pyramid, cylinder, cone and sphere using various concrete and pictorial models.

This module was designed and written with you in mind.

And read the instructions carefully before performing each task. Use a separate sheet of paper in answering the exercises and tests. Do not put unnecessary marks on any part of this SLM.

We trust that you will be honest in using these. Answer keys are provided for each activity and test. At the end of each module, you need to answer the post-test to self-check your learning. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. Pre-tests are provided to measure your prior knowledge on lessons in each SLM. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.Įach SLM is composed of different parts. This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Messenger Facebook Twitter WhatsApp Pocket Email

Pictorial model math