Search results for "Mathematics EDucation"
showing 10 items of 1280 documents
Domain Specific Knowledge Representation for an Intelligent Tutoring System to Teach Algebraic Reasoning
2012
Translation of word problems into symbolic notation is one of the most challenging steps in learning the algebraic method. This paper describes a domain-specific knowledge representation mechanism to support Intelligent Tutoring Systems (ITS) which focus on this stage of the problem solving process. The description language proposed is based on the concept of a hypergraph and makes it possible to simultaneously a) represent all potential algebraic solutions to a given word problem; b) keep track of the student's actions; c) provide automatic remediation; and d) unequivocally determine the current state of the resolution process. An experimental evaluation with students at a public school su…
The association between mathematical word problems and reading comprehension
2008
This study aimed to investigate the interplay between mathematical word problem skills and reading comprehension. The participants were 225 children aged 9–10 (Grade 4). The children’s text comprehension and mathematical word problem‐solving performance was tested. Technical reading skills were investigated in order to categorise participants as good or poor readers. The results showed that performance on maths word problems was strongly related to performance in reading comprehension. Fluent technical reading abilities increased the aforementioned skills. However, even after controlling for the level of technical reading involved, performance in maths word problems was still related to rea…
Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising
2013
In the Netherlands modelling is integrated into the mathematics curriculum. This chapter describes a study of modelling characteristics in recent mathematics examination papers. Results show that the tasks convey the message that mathematics can be found in unexpected situations. In many tasks a situation and a ready-made model are given and students are asked to work with the model. For mathematising, two design principles were: to finalise the parameters of a given model, and to reconstruct a given mathematical model from verbal descriptions and diagrams of a situation. These formats were coined as mechanistic and reproductive mathematising respectively. These formats have been introduced…
ACQUISITION OF STUDENT SCIENTIFIC INQUIRY SKILLS: CENTRALISED EXAMINATION RESULTS IN CHEMISTRY
2016
From 2011, the new educational standard in Latvia in the framework of the educational reform on the centralised examination (CE) in chemistry stipulates students to demonstrate the inquiry skills they have mastered. The purpose of this study is to find out the students’ inquiry skills by analysing the CE results in chemistry. This study addresses the following research questions: (a) To what extent are the centralised examination inquiry skills measured according to the standard outcomes? (b) What information on how students have mastered the inquiry skills in chemistry is available from the CE results for the period of 2011-2015? (c) Does measuring the inquiry skills using inquiry-based la…
The Fifth Lesson: Students’ Responses to a Patterning Task Across the Four Countries
2019
The chapter reports a comparative analysis of problem-solving activities in classrooms in the four countries. The problem students work with is a patterning task, taken from a major international comparative study. The idea of analyzing this group work across countries is to see what traces of algebra learning may be discerned in the work of the students. The results show the complexities of early algebra learning by presenting in detail the obvious variations in how students tackle the problem in more or less algebraic ways. In the small-group work in classrooms, students pool their ideas allowing for the discourse to build on itself in a cumulative manner.
Investigating the Affordances and Constraints of SimReal for Mathematical Learning : A Case Study in Teacher Education
2019
Visualizations tools are one of the most innovative technologies that emerged the last few years in educational settings. They provide new potentialities for mathematical learning by means of dynamic animations and representations, interactive simulations, and live streaming of lessons. Moreover, visualization tools have the potential to foster a visual, dynamic, distributed, and embodied mathematics rather than individual achievements and static representations. This paper uses the visualization tool SimReal in teacher education to explore the affordances of the tool for learning mathematics. It proposes a framework that captures the affordances of SimReal at a technological, pedagogical, …
PARTNERSHIP BETWEEN TEACHER AND SECONDARY SCHOOL STUDENT THROUGH LEARNING MATHEMATICS
2016
This article examines secondary school student and teachers cooperation through learning mathematics. The aim of the study is to find out whether the teacher and student cooperation is a partnership. The partnership is viewed as a cooperation where involved work toward mutual goals. Secondary school student - teacher partnership is possible if the teacher trusts students and together with them chooses the learning objectives, the teaching aids and methods of learning. Students take responsibility for their choices and they are motivated to accomplish them if there is possibility to make a choice. The article deals with teachers' views on teaching and students' opinions about what helps and …
On the Reception of Grassmann’s Work in Germany during the 1870’s
1996
It has often been remarked that Grassmann’s mathematics was not widely appreciated during his lifetime. Although awareness of the dimensions of his achievements began to spread in the early 1870’s, even in Germany relatively few mathematicians appear to have been well acquainted with either the original 1844 edition of Grassmann’s Ausdehnungslehre or the mathematically more accessible edition of 1862. The main reasons for this weak and rather delayed reception have been described often enough---Grassmann’s isolated working environment and his nearly impenetrable language---but there are a number of related aspects that still deserve closer consideration.1
Smartphones y caída libre: Diseño y evaluación de una experiencia práctica
2019
RESUMEN: Este trabajo presenta el diseño y evaluación de una experiencia práctica sobre el movimiento de caída libre basada en la utilización de smartphones para comprobar si el aprendizaje de los estudiantes sobre este movimiento mejora al utilizar este tipo de dispositivos móviles. La evaluación de la experiencia práctica se ha realizado mediante un diseño pre-post en el que 47 estudiantes, matriculados en la asignatura 'Física y Química' de 4º de ESO, han contestado a un cuestionario con 6 preguntas de respuesta libre. Los resultados muestran que la experiencia práctica propuesta es eficaz ya que se obtiene una mejora estadísticamente significativa entre el pre-test y el post-test, tanto…