1997
DOI: 10.1111/j.1949-8594.1997.tb17354.x
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Measurement of Length: The Need for a Better Approach to Teaching

Abstract: Three hundred and eighty‐three children in grades 1–5 were individually interviewed to find out at when they construct unit iteration out of transitive reasoning as described by Piaget, Inhelder, and Szeminska (1960). The results indicated that most children (72%) construct transitive reasoning by second grade and that most (76%) construct unit iteration out of transitive reasoning by fourth grade. The article explains why traditional instruction produces the poor results revealed by the National Assessment of… Show more

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Cited by 49 publications
(44 citation statements)
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“…Understanding measurement is difficult for young children as evidenced by their low scores on state mandated achievement tests (Kamii & Housman, 2000). One reason for this difficulty may be due to the way in which measurement has been traditionally taught as empirical procedures in how to use measurement tools, such as rulers, with little focus on children's ability to reason about measurement problems (Kamii & Clark, 1997;Clements & Bright, 2003). The purpose of this study was to analyze what measurement means to first grade students.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Understanding measurement is difficult for young children as evidenced by their low scores on state mandated achievement tests (Kamii & Housman, 2000). One reason for this difficulty may be due to the way in which measurement has been traditionally taught as empirical procedures in how to use measurement tools, such as rulers, with little focus on children's ability to reason about measurement problems (Kamii & Clark, 1997;Clements & Bright, 2003). The purpose of this study was to analyze what measurement means to first grade students.…”
Section: Introductionmentioning
confidence: 99%
“…This study was informed by constructivist theory and research on children and measurement (Kamii & Clark, 1997) as well as by hermeneutic phenomenological theory focusing on the importance of children's lived experiences (van Manen 1990). Children's lived experiences refer to the everyday events in children's lives, some of which may involve measurement.…”
Section: Introductionmentioning
confidence: 99%
“…Students must make sense of the 'part' of the unit left over after the 3 complete units are counted. This is different than just counting discrete objects like fingers or cubes (Kamii & Clark, 1997). When counting units of length, the student begins to develop a model for the continuous nature of rational numbers (e.g.…”
Section: Measurementmentioning
confidence: 99%
“…Comparative measurement is the process of using a known measurement from one part of an object to find an unknown measurement on either that same object or a different object. This is sometimes referred to as transitivity (Kamii & Clark, 1997). For measurement, it is important that young children understand that many different attributes can be measured (e.g.…”
Section: Measurementmentioning
confidence: 99%
“…Time may be a part of routinized activity across a day, but the clock that indicates the time is a complex measuring tool featuring multiple related units. Prior calls have challenged an instructional focus on procedural uses of measurement tools (like rulers or protractors) without highlighting the quantitative referents underlying their procedural uses (Kamii & Clark, 1997;Moore, 2013;Stephan & Clements, 2003). Nonetheless, despite everyday applications of time, research on how students come to understand standard tools for and concepts related to time as a measure remains minimal.…”
mentioning
confidence: 99%