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Muttaqin, Haniful; Putri, Ratu Ilma Indra; Somakim – Journal on Mathematics Education, 2017
This research was motivated by several studies which show that students have difficulties in understanding the material ratio, wherein one contributing factor is the lack of ability in proportional reasoning. The purpose of this study is to produce a trajectory of learning to help students develop abilities in comparison reasoning. Solution…
Descriptors: Mathematics Instruction, Mathematical Concepts, Grade 7, Graphs
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Kapur, Manu – Instructional Science: An International Journal of the Learning Sciences, 2011
This paper replicates and extends my earlier work on productive failure in mathematical problem solving (Kapur, doi:10.1007/s11251-009-9093-x, 2009). One hundred and nine, seventh-grade mathematics students taught by the same teacher from a Singapore school experienced one of three learning designs: (a) traditional lecture and practice (LP), (b)…
Descriptors: Mathematics Education, Problem Solving, Foreign Countries, Grade 7