March 1, 2017

Summer Learning Institute was continuing a 5-year longitudinal research study on Promising Practices for Stopping and Reversing Summer Learning Loss.

Recruiting 24 college students from 5 universities under the supervision of master teachers and using MANGO Math curriculum, Marian University followed the math progress of 381 underrepresented and under-served students over a 6 week out of school period of time.

“Summer learning loss . . . is one of the most significant causes of the achievement gap between lower and higher-income youth and one of the strong- est contributors to the high school dropout rate . . . Most youth lose about 2.6 months of math skills in the summer . . . By fifth grade, summer learning loss can leave low- income students 2 1/2 to 3 years behind their peers.”

National Summer Learning Association

Marian University used AIMSweb test data (Pearson, 2012) to apply before and after tests on students’ math skills and had the testing independently scored and analyzed. One of the questions the study was looking to answer was the number of summer math hours required to stop math learning loss.

The AIMSweb, a short-term metric, showed significant increases in scores from pretest to post-test. The median dosage of hours of math activities over the course of the summer scored significantly higher on post to pretest differences than did children who participated in **fewer than 8 hours.**

Click here for the PDF of the write up. Marian University complete study

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These problems provide students with great algebraic thinking skills. Students will start to understand concepts regarding balanced equations. A student can add or subtract the same number of shape or multiply or divide by the same number or shape on both sides of an equation, which is called equation property. Students can use other properties while solve these problems like Distributive Property or Associative Property. Which will help them in solving these problems.

Follow us on Facebook and Twitter to provide answers or get answers to these problems. We would love to have you replying so that we can be a champion for your math work. MANGO Math is about creating MATH CHAMPIONS. Be one in your school or after school program.

You can also check out our great math crates that provide many problem solving activities like this. Our Pre-Algebra crate is filled with activities just like these in the calendar. Teaching algebraic thinking in different ways. Having students applying the paper and pencil problems into fun, challenging visual problems. Have students replace the shapes with numbers. Do the problems work? I personally had to give the shapes a value, that is how I solved many of the problems. Does it matter which numbers you select? Can there only be one correct answer? What if you replaced shapes with variables. Can the problems still work out?

Let us know how you enjoy the problems!