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Peters, Susan A.; Bennett, Victoria Miller; Young, Mandy; Watkins, Jonathan D. – Mathematics Teaching in the Middle School, 2016
The mean can be interpreted as a fair-share value and as a balance point. Standards documents, including Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), suggest focusing on both interpretations. In this article, the authors propose a sequence of five activities to help students develop these understandings of the mean, and they…
Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Students, Common Core State Standards

Friel, Susan N.; Bright, George W.; Curcio, Frances R. – Mathematics Teaching in the Middle School, 1997
Focuses on the role of graphs as part of the statistical investigation process. Recommends that teachers explore students' thinking in terms of what it says about their graph sense. Suggests that teachers take time to reflect on how their thinking may be changing as they listen more closely to their students. Contains 17 references. (DDR)
Descriptors: Concept Formation, Elementary Secondary Education, Graphs, Mathematics Instruction

Dwyer, Nancy K.; Causey-Lee, Betty J.; Irby, Nekeya M. – Mathematics Teaching in the Middle School, 2003
Presents an activity using similar rectangles to help children conceptualize ratio relationships in several different ways. Develops proportional reasoning without introducing the process of cross- multiplication. (YDS)
Descriptors: Concept Formation, Geometric Concepts, Geometry, Graphs

Middleton, James A.; van den Heuvel-Panhuizen, Marja; Shew, Julia A. – Mathematics Teaching in the Middle School, 1998
Examines bar models as graphical representations of rational numbers and presents related real life problems. Concludes that, through pairing the fraction bars with ratio tables and other ways of teaching numbers, numeric strategies become connected with visual strategies that allow students with diverse ways of thinking to share their…
Descriptors: Concept Formation, Elementary Education, Graphs, Mathematical Concepts