Educational institutions are more concentrated on preferable measured outcomes rather than theoretical ones. Measuring subject knowledge obtains through written examination is easy, even as skills such as critical and logical thinking, decision making, problem-solving ability, creative thinking are difficult to measure. The education field is…

The present study used a new assessment technique, the story-generation task, to examine students' understanding of subtraction scenes. The students from four grade levels (110 first-, 107 third-, 110 fourth- and 119 sixth-graders) generated stories under the constraints provided by a picture (representing Change, Combine or Compare scene) and a…

Sixth-grade students were exposed to two pairs of mathematics assignments. Assignment Pair A included a high-effort and a moderate-effort assignment, each containing 18 three-digit by two-digit (3x2) problems. Assignment Pair B was similar except the high-effort assignment contained six additional one-digit by one-digit (1x1) problems interspersed…

"Progress in Mathematics[C] 2006" is a new core curriculum for students in kindergarten through grade 6. "Progress in Mathematics[C] 2006" differs substantively from "Progress in Mathematics[C] 2000" in both content and assessment material. "Progress in Mathematics[C] 2006" uses a sequence of systematic…

Recent publications continue to show that significant numbers of students in junior grades, while competent in basic ruler skills, seem not to have acquired important concepts about how rulers work and units of length. This paper reports on the results of a set of tasks completed by students from Grades 5 and 6. The results show that many students…

This paper explores what happens when students engage with mathematical tasks that make no attempt to be connected with students' everyday life experiences. The investigation draws on the work of educators who call for a broader view of what might count as real and relevant contexts for studying mathematics. It investigates students' experiences…

This paper examines 6th grade children's local conceptual development and mathematization processes as they worked a comprehensive mathematical modeling problem (creating a consumer guide for deciding the best snack chip) over several class periods. The children and their teachers were participating in a 3-year longitudinal teaching experiment in…