Search results for "Mathematical thinking"
showing 10 items of 10 documents
Basic Mathematical Thinking
2016
Mathematics, from the Greek word “mathema”, is simply translated as science or expression of the knowledge.
Teaching Early Mathematical Skills to 3- to 7-Year-Old Children — Differences Related to Mathematical Skill Category, Children’s Age Group and Teache…
2022
Abstract This study explored teaching early mathematical skills to 3- to 7-year-old children in early childhood education and care (ECEC) and pre-primary education. Teachers in ECEC (N = 206) answered a web survey. The first aim was to determine whether teaching frequency or pedagogical awareness of teaching early mathematical skills varied according to the category of skills (numerical skills, spatial thinking skills and mathematical thinking and reasoning skills) and whether children’s age group moderated these differences. The second aim was to explore to what extent teacher-related characteristics and children’s age group explained variations in teaching frequency concerning early mathe…
Emma's mathematical thinking, problem solving and affect
2015
International audience; This paper aims to understand one pupil's mathematical thinking through problem solving and mathematics related affect. The results reveal a successful, though quite unsure, problem solver whose affective state (connected to problem solving) seems to tell the same story as her affective trait (view of mathematics). The differences between results on affective state and trait seem to be connected mostly to emotions.
The Materialisation of Children’s Mathematical Thinking Through Organisation of Turn-Taking in Small Group Interactions in Kindergarten
2020
This chapter reports from a case study which focuses on the coordination of turn-taking within two small groups of kindergarten children (age 5–6) working on addition problems. The two segments of small group interaction were analysed from a multimodal, interpretative perspective. Drawing on Radford’s (J Res Math Educ, 2:7–44, 2013) theory of knowledge objectification, the study explores the characteristics of children’s turn-taking and what role children’s organisation of turn-taking plays in the movement of the joint activity, and thus for the materialisation of their mathematical thinking. The findings suggest that children’s various ways of organising turn-taking give rise to different …
Mathematical Modelling Problems in a Mathematics Course for Engineers: A Commognitive Perspective
2021
Mathematical knowledge is very important for engineers; both quantitative and qualitative analysis of physical systems and manufacturing processes require solid scientific principles and appropriate mathematical tools. Teaching of mathematical modelling at the university contributes to the development of mathematical competencies, motivates the interest to mathematics and plays a significant didactical role in promoting advanced mathematical thinking. These views are supported by the analysis of students’ work on a mathematical modelling assignment in a university mathematics course for future engineers with the help of the commognitive framework. Students’ narratives in written solutions a…
LAS TECNOLOGÍAS DE LA INFORMACIÓN Y COMUNICACIÓN EN LA EDUCACIÓN LATINOAMERICANA: MODELOS Y TENDENCIAS DE USO (Information and Communication Technolo…
2021
Spanish abstract: Resumen: La iniciativa para la elaboracion de un libro resultados de investigacion, nace de una reflexion realizada por un grupo de docentes investigadores de Latinoamerica y America Central, con el proposito de producir una obra en formato digital, para la socializacion de proyectos de investigacion y los resultados de estos. Por lo anterior, se propuso lineas tematicas vinculadas en la docencia y la brecha tecnologica, servicios empresariales con TIC, la gamificacion con uso de apps y plataformas educativas libres en el aula, modernizacion de procesos empresariales y agronomia uso en el sector agrario con TIC. Se presentan resultados investigativos variados, desde el pro…
Propuesta de unidad didáctica del concepto de integral y del cálculo de primitivas
2010
En este Trabajo Fin de Máster se va a proceder a desarrollar una propuesta de unidad didáctica sobre el concepto de integral y el cálculo de primitivas. Ambos temas, en orden contrario, fueron de los que me encargué de desarrollar en mis prácticas. Como trataré más adelante, la forma tradicional de introducir estos temas a los alumnos es comenzar con el cálculo de primitivas o antiderivadas para después, una vez que los alumnos tienen suficiente destreza en el cálculo de las mismas, continuar con el teorema fundamental del cálculo y la regla de Barrow, es decir, las integrales definidas, convirtiéndose dichos conceptos en transparentes para los alumnos y sin llegar a ser asimilados correcta…
Estudio de funciones con geogebra
2012
Nuestra investigación, “Estudio de funciones con GeoGebra”, se ha desarrollado en el “Máster Universitario en Profesor de Educación Secundaria” de la Universitat de València. El estudio se centra en cómo alcanzar una correcta comprensión de los conceptos referidos a funciones haciendo uso del GeoGebra. El problema que motiva esta investigación radica en que, en los cursos tradicionales de 2º de Bachillerato, cantidades significativas de estudiantes no logran comprender los conceptos básicos de funciones, en particular, la tasa de variación media, derivada, monotonía, extremos y concavidad. El proyecto tiene como objetivo hacer una propuesta de trabajo basada en la utilización de GeoGebra, d…
Games: Artefacts in Gameplay
2016
This chapter reviews the past and looks to the future of the potential for games and gameplay to provide opportunity for engaging in mathematical activity. This review a glimpse into a possible future is conducted with a specific focus on the role of artefacts in gameplay. The chapter is in four sections. The first section considers the range of games; the second section considers artefacts in games and gameplay; the third section addresses games in mathematics education; and the final section looks to future development.
The development of Early Mathematical Skills – A Theoretical Framework for a Holistic Model
2019
This article presents a theoretical framework for a holistic model of the development of early mathematical skills in early childhood education. The first aim of this study was to conduct a comprehensive international review of the literature to explore early mathematical skills categories. The literature review yielded three early mathematical skills categories, namely (1) numerical skills, (2) spatial thinking skills and (3) mathematical thinking and reasoning skills. Previous studies have shown that several mathematical skills develop gradually and simultaneously in early ages and that these skills areas are interconnected in mathematical skills learning. Accordingly, the second aim of t…