Search results for "Mathematical problem solving"
showing 5 items of 5 documents
Teacher Guidance in Mathematical Problem-Solving Lessons: Insights from Two Professional Development Programs
2019
When implementing a problem-solving lesson, the teacher needs to provide students appropriate guidance during problem solving. This demanding task requires understanding students’ work in progress and giving them necessary help without constraining their thinking. In this article, we share insights from two professional development programs on how teachers guided students’ problem solving and how they reflected on these instances. One of the programs included Finnish pre-service teachers, while the other program included US in-service teachers. We analyzed video-recorded problem-solving lessons from 16 Finnish and 2 US teachers in grades 6–9. We found two themes about teacher guidance of st…
Arithmetic Problems Formulation and Working Memory Load
1987
First, third, and fifth graders (French children in American-numbered grades) were asked to solve arithmetic problems in which an initial state was modified by two successive transformations. Three independent variables were manipulated systematically. First, the unknown state was either the final state (Sl) or the initial state (S2). Second, either the known state (01) or the transformations (02) appeared in the first place in the problem wording. Third, the question was either located at the end (Ql) or at the beginning (42) of the problem text. As anticipated, these modifications strongly affected the performances at every age: S1 appears clearly easier than S2; 0 1 leads to a better per…
Avances de investigación en educación matemática
2020
El fomento de la flexibilidad y adaptabilidad en resolución de problemas matemáticos favorece el desarrollo de la competencia matemática. En este estudio se describe y justifica el diseño de una secuencia de tareas de modelización que permite analizar la flexibilidad inter-tarea en los estudiantes. El objetivo central del estudio es analizar si los estudiantes son capaces de adaptar sus planes de resolución según aspectos relativos al contexto de la tarea, cambiando de estrategia de una tarea a otra, si estos aspectos varían. En el estudio han participado 110 estudiantes del grado de Maestro/a en Educación Primaria; los resultados permiten conocer en qué medida son flexibles los estudiantes…
Reasoning with paper and pencil: The role of inscriptions in student learning of geometric series
2009
The purpose of this article is to analyse how students use inscriptions as tools for thinking and learning in mathematical problem-solving activities. The empirical context is that of learning about geometric series in a small group setting. What has been analysed is how students made use of inscriptions, self-made as well as those provided by text books and teachers, and the role these inscriptions played in the coordination of students’ learning/communication. Through the use of inscriptions (made on the chalkboard and with paper and pencil), the students externalised their thinking while engaging in mathematical reasoning on the topic of geometric series. The inscriptions were significan…
Assessment Tests in the Mathematics Teaching Guides in Spain. Analysis of the Content Blocks and the Treatment of Arithmetic Word Problems
2021
The teaching guides that complement textbooks have key importance in the assessment of competence in problem solving, because these materials contain the assessment tools that teachers frequently use to quantify the achievements of their students. In this paper, we set two aims: to analyze which curriculum contents are given priority in the assessment tests of the teaching guides