This paper presents the analysis of two teaching experiments carried out in the context of the mathematics laboratory in a primary school (grades 3 and 4) with the use of the pascaline Zero + 1, an arithmetical machine. The teaching experiments are analysed by coordinating two theoretical frameworks, i.e. the instrumental approach and the Theory…

The science vocabulary from a science curriculum standards document (Ministry of Education Ontario, 2007) was classified by morphological developmental level and compared to the grade level topics of the curriculum (grades 1 to 8). Descriptive statistical analyses highlight the complex nature of science vocabulary and the incompatibilities between…

"Knowing and doing measurement" is a fundamental competency in real life since measuring attributes of objects in appropriate units and using measuring tools assist students to quantify and understand the world. For this reason, the study of measurement has a special place in every mathematics curriculum. Among the domains of measurement, length…

The purpose of this study was to determine whether patterns of strategy use in second, third and fourth grade children's arithmetic supported Steffe's model of numerical development. In addition to student-generated strategies, we looked at commonly taught algorithms not considered in Steffe's model to determine whether these algorithms reflected…

There is mounting research evidence that contests the metaphysical perspective of knowing as mental process detached from the physical world. Yet education, especially in its teaching and learning practices, continues to treat knowledge as something that is necessarily and solely expressed in ideal verbal form. This study is part of a funded…

The purpose of this study was to investigate the alternative conceptions about burning phenomena among Atayal indigene elementary school students in Taiwan. The main difference from other relevant research is that this study assesses Atayal people's worldview by means of a questionnaire developed specifically for this purpose. There were three…

This paper considers the development of school students' ability to define three terms that are fundamental to statistical literacy: sample, random, and variation. A total of 738 students in grades 3, 5, 7, and 9 were asked in a survey to define and give an example for the word "sample." Of these, 379 students in grades 7 and 9 were also asked…

The study was designed to support teachers on conceptualizing their understanding of students' learning by the use of assessment tasks. A school-based assessment team consisting of the researcher and four third-grade teachers teaching in the same school was set up as a learning context of supporting teachers in developing assessment tasks integral…

The paper reports a cross-cultural investigation conducted in 2001-2002 that seeks to reveal students' alternative ideas in two countries, Taiwan and Germany. It was carried out by means of semi-structured interviews in a story form. The targeted students were arbitrarily selected from grades 3 to 6 in both countries and amounted to 64. The…