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Ginsburg, Herbert P.; Lee, Young-Sun; Pappas, Sandra – ZDM: The International Journal on Mathematics Education, 2016
Formative assessment involves the gathering of information that can guide the teaching of individual or groups of children. This approach requires a sound understanding of children's thinking and learning, as well as an effective method for gaining the information. We propose that formative assessment should employ a version of clinical…
Descriptors: Mathematics, Mathematics Education, Mathematics Instruction, Mathematical Logic
Hundeland, Per Sigurd; Carlsen, Martin; Erfjord, Ingvald – ZDM: The International Journal on Mathematics Education, 2020
In this study we investigated qualities of the mathematical discourse in four kindergarten classes in which kindergarten teachers and 5-year-old children engaged in mathematical learning activities. We analysed differences in the mathematical discourses in two experimental kindergarten classes and two control kindergarten classes, in a research…
Descriptors: Kindergarten, Preschool Teachers, Mathematics Instruction, Teaching Methods
Clements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace – ZDM: The International Journal on Mathematics Education, 2020
Although basing instruction on a learning trajectory (LT) is often recommended, there is little direct evidence to support the premise of a "LT approach"--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. The present report serves to address…
Descriptors: Mathematics Instruction, Teaching Methods, Kindergarten, Preschool Children
Powell, Sarah R.; Berry, Katherine A.; Barnes, Marcia A. – ZDM: The International Journal on Mathematics Education, 2020
Students in the elementary grades often experience difficulty setting up and solving word problems. Using an equation to represent the structure of the problem serves as an effective tool for solving word problems, but students may require specific pre-algebraic reasoning instruction about the equal sign as a relational symbol to set up and solve…
Descriptors: Grade 3, Mathematics Instruction, Elementary School Students, Difficulty Level
van Lieshout, Ernest C. D. M.; Xenidou-Dervou, Iro – ZDM: The International Journal on Mathematics Education, 2020
Pictorial representations are often used to help children understand the situation described in a given number-sentence scheme. These static pictorial problems essentially attempt to depict a dynamic situation (e.g., one bird flies away while there are three birds still sitting on the fence). Previous research suggested that such pictorial…
Descriptors: Pictorial Stimuli, Mathematical Concepts, Concept Formation, Teaching Methods
Gasteiger, Hedwig; Bruns, Julia; Benz, Christiane; Brunner, Esther; Sprenger, Priska – ZDM: The International Journal on Mathematics Education, 2020
Measurement instruments of early childhood teachers' mathematical pedagogical content knowledge (MPCK) have to consider the special characteristics of early childhood teaching. Early childhood teaching includes some planned activities but in contrast to learning in school, it is often motivated and generated by situations which unfold…
Descriptors: Mathematics Instruction, Pedagogical Content Knowledge, Multiple Choice Tests, Kindergarten
Desoete, Annemie; Baten, Elke; Vercaemst, Vera; De Busschere, Ann; Baudonck, Myriam; Vanhaeke, Jennis – ZDM: The International Journal on Mathematics Education, 2019
In this paper, we investigate the role of metacognitive postdiction skills, intrinsic motivation and prior proficiency in mathematics as Propensity factors within the opportunity-propensity (O-P) model of learning. We tested Belgian children from Grade 1 till 6 in January and June. The study revealed overlapping yet different predictors for…
Descriptors: Foreign Countries, Elementary School Students, Mathematics Achievement, Prior Learning
Cooper, Jason – ZDM: The International Journal on Mathematics Education, 2019
Teachers and mathematicians hold different perspectives on the teaching and learning of whole number arithmetic. Though these perspectives may be complementary, sharing them across communities is challenging. An unusual professional development course for primary school teachers, initiated and taught by research mathematicians, provided a setting…
Descriptors: Professional Personnel, Elementary School Mathematics, Elementary School Teachers, Numbers
Houdement, Catherine; Tempier, Frédérick – ZDM: The International Journal on Mathematics Education, 2019
Numeration units (ones, tens, hundreds, etc.) are an epistemological foundation for place value. Here, we assume that they are a didactic support in countries where spoken numbers are incongruent with written numbers. In France, teaching practices neglect the relations between units, and numeration units are typically used only to designate the…
Descriptors: Mathematics Instruction, Teaching Methods, Elementary School Mathematics, Grade 3
Dackermann, Tanja; Fischer, Ursula; Nuerk, Hans-Christoph; Cress, Ulrike; Moeller, Korbinian – ZDM: The International Journal on Mathematics Education, 2017
"Embodied trainings" allowing children to move their whole body in space have recently been shown to foster the acquisition of basic numerical competencies (e.g. magnitude understanding, addition performance). Following a brief summary of recent embodied training studies, we integrate the different results into a unified model framework…
Descriptors: Children, Mathematics Instruction, Teaching Methods, Human Body
Pfister, Mirjam; Moser Opitz, Elisabeth; Pauli, Christine – ZDM: The International Journal on Mathematics Education, 2015
Scaffolding is an important tool for meeting the challenging needs of heterogeneous groups of students in inclusive classrooms. It is especially useful when supporting low achievers. A video study (funded by the Swiss National Science Foundation, Project Nr. 134652) of 36 inclusive classes, (3rd grade, aged 9 years), was conducted to examine how…
Descriptors: Mathematics Instruction, Inclusion, Scaffolding (Teaching Technique), Video Technology
Confrey, Jere; Maloney, Alan – ZDM: The International Journal on Mathematics Education, 2015
Design research studies provide significant opportunities to study new innovations and approaches and how they affect the forms of learning in complex classroom ecologies. This paper reports on a two-week long design research study with twelve 2nd through 4th graders using curricular materials and a tablet-based diagnostic assessment system, both…
Descriptors: Research Design, Curriculum Evaluation, Educational Innovation, Elementary School Students
Kaur, Harpreet – ZDM: The International Journal on Mathematics Education, 2015
This paper illustrates how young children (ages 7-8, grade 2/3) can use the potential of dynamic geometry environments to develop an understanding of, and reasoning about, the properties and behaviours of different triangles (scalene, isosceles, equilateral). It provides a detailed description of a geometry unit, during which children worked both…
Descriptors: Young Children, Grade 2, Grade 3, Elementary School Students