1 / 14

Teaching Ratio & Proportion Problem Solving Using Schema-Based Approach

Teaching Ratio & Proportion Problem Solving Using Schema-Based Approach. Nikki Stephenson & Katey Long. Population. The Schema-Based Strategy for helping solve math word problems is useful for Middle School Students.

ismet
Download Presentation

Teaching Ratio & Proportion Problem Solving Using Schema-Based Approach

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Teaching Ratio & Proportion Problem Solving Using Schema-Based Approach Nikki Stephenson & Katey Long

  2. Population • The Schema-Based Strategy for helping solve math word problems is useful for Middle School Students.

  3. Word problems can present difficulties for students with or without disabilities. A schema is a structure that organizes knowledge and can help a student categorize different types of problems to determine the best way to solve the problem. First it is helpful to identify the problem type Change, Group, or Compare. Then by using FOPS, you can solve the problem. It is very helpful for students with disabilities to figure out the problem type, organize the information into a diagram, plan to solve the problem and then finally solve the problem. This strategy could lead to significant gains in problem solving skills. Summary

  4. Steps for Solving (FOPS) • Step 1: Find the problem type • Step 2: Organize the information • Step 3: Plan to solve the problem • Step 4: Solve the problem

  5. Word Problem • Example: • The ratio of the number of girls to the total number of children in Mrs. Widenhour’s class is 2:5. The number of girls in the class is 12. How many children are in the class?

  6. 1. Find the Problem Type • Read and retell problem to understand it. • Ask yourself if this is a ratio/compare problem. • Ask yourself if the problem is similar or different from others that you have seen before.

  7. 2. Organize the Information

  8. 2. Organize the Information • Underline the ratio or comparison sentence and write the ratio value in diagram. The ratio of the number of girls to the total number of children in Mrs. Widenhour’s class is 2:5. The number of girls in the class is 12. How many children are in the class? • Write compared and base quantities in diagram. • Write an x for what must be solved (what are you trying to find).

  9. 12 girls 2 5 x Children 2. Organize the Information

  10. 3. Plan to Solve the Problem • Translate the information in the diagram into a math equation. • Plan how to solve the equation.

  11. 4. Solve the Problem • Solve the math equation and write the complete answer. • Check yourself to see if the answer makes sense.

  12. Problem Solving Strategies • Cross multiplication • 12*5=60. 2*x=2x. 60=2x. x=30.

  13. Problem Solving Strategies • Equivalent fractions strategy • 2 times what is 12? Since the answer is 6 (2 * 6 = 12), we multiply 5 by this same number to get x. So 6 * 5 = 30.

  14. Potential Difficulties • Having difficulties recognizing key words in the word problem such as: less than, product, and, etc. • Student may focus more on the diagram and less on what the problem is actually asking. • Student may identify the wrong problem type, causing the answer or diagram to be incorrect. • Student may think they do not need to draw a diagram to get the correct answer.

More Related