scholarly journals Routines for Learning Modeling Practices and Content

2022 ◽  
Vol 115 (1) ◽  
pp. 36-44

The authors share a teacher-designed mathematical modeling routine geared to support teachers and to leverage opportunities for their students in learning important modeling practices and mathematical content.

Revemop ◽  
2019 ◽  
Vol 1 (3) ◽  
pp. 397
Author(s):  
Amanda Larissa de Almeida ◽  
Rosana Giaretta Sguerra Miskulin

<p>Por meio do presente artigo, discute-se aspectos matemáticos, didáticos e pedagógicos das disciplinas de conteúdo matemático do curso de Licenciatura em Matemática, a partir de um recorte de uma pesquisa de Mestrado, a qual constituiu-se como um estudo de 26 teses e dissertações, com objetivo de analisar e evidenciar articulações entre os seus resultados e o campo de formação de professores. Tais teses e dissertações foram mapeadas em dois momentos distintos: aquelas produzidas entre os anos de 2001 e 2012 foram mapeadas a partir do <em>corpus</em> de pesquisa do projeto universal “Mapeamento e estado da arte da pesquisa brasileira sobre o professor que ensina Matemática”, e teses e dissertações produzidas entre 2013 e 2017 mapeadas no Catálogo da CAPES. Para analisar os resultados dessas pesquisas utilizamos alguns conceitos da Análise de Conteúdo e nos baseamos em referenciais teóricos sobre formação inicial de professores de Matemática e formação matemática do professor. Nesse contexto, apresentamos a discussão de uma categoria, a qual evidencia a possibilidade de articulação entre as disciplinas de conteúdo matemático e a prática do futuro professor. por meio de metodologias como o Trabalho com Projetos, Modelagem Matemática e uso de <em>Softwares</em>. Tais abordagens constituem-se como um caminho para o desenvolvimento dessas disciplinas na licenciatura, uma vez que propiciam a exploração, investigação, visualização e aplicações dos conceitos, além de discussões sobre o ensino da Matemática na Educação Básica.</p><p><strong>Palavras-chave: </strong>Disciplinas de conteúdo matemático. Licenciatura em Matemática. Práticas formativas.</p><p><strong><br /></strong></p><p><strong>Mathematical, didactic and pedagogical aspects of the subjects of mathematical content in graduation: a look for theses and dissertations (2001-2017)</strong></p><p align="center"> </p><p><strong>Abstract: </strong>In this article, we discuss mathematical, didactic and pedagogical aspects of mathematical content in mathematics degree courses. The authors studied 26 theses / dissertations on mathematical content subjects, aiming to analyze and look for evidence in relation to the articulation between their results and the field of teacher training. These theses and dissertations were mapped into two distinct moments: those produced between 2001 and 2012 were mapped from the research corpus of the Universal Project "Mapping and State of the Art of Brazilian Researchin Regards to the Teacher Who Teaches Mathematics" and the theses and dissertations carried out between 2013 and 2017 were mapped through the Catalog of Capes. To analyze the results of these works, we used some concepts from the theory of content analysis and we base ourselves on theoretical references about the initial formation of teachers of mathematics and the mathematical formation of the teacher. In this context, we present the discussion of a category, which highlights the possibility of the articulation between the mathematical content disciplines and a future teacher's practice; by means of methodologies like work with projects, mathematical modeling and use of software. These approaches constitute a way for the development of these disciplines in the licenciatura (math teacher degree program), since they facilitate exploration, investigation, visualization and applications of the concepts, and discussion about the teaching of mathematics in basic education.<strong></strong></p><p><strong>Keywords:</strong> Mathematical content disciplines. Degree in Mathematics. Training practices.</p><p><strong><br /></strong></p><p><strong>Aspectos matemáticos, didácticos y pedagógicos de las disciplinas de contenido matemático en la Licenciatura: una mirada a partir de tesis y disertaciones (2001-2017)</strong></p><p><strong>Resumen: </strong>Por medio del presente artículo, se discute aspectos matemáticos, didácticos y pedagógicos de las disciplinas de contenido matemático del curso de Licenciatura en Matemáticas, a partir de un recorte de una investigación de Maestría, como un estudio de 26 tesis/disertaciones sobre disciplinas de contenido matemático, con el objetivo de analizar y evidenciar articulaciones entre sus resultados y el campo de formación de profesores. Estas tesis y disertaciones fueron mapeadas en dos momentos distintos: aquellas producidas entre los años 2001 y 2012 fueron mapeadas a partir del corpus de investigación del Proyecto Universal "Mapeamiento y Estado del arte de la investigación brasileña sobre el profesor que enseña Matemáticas" y las tesis y disertaciones realizadas entre 2013 y 2017 fueron mapeadas a través del Catálogo de la CAPES. Para analizar los resultados de esas investigaciones utilizamos algunos conceptos de la teoría del Análisis de Contenido y nos basamos en referenciales teóricos sobre formación inicial de profesores de Matemáticas y formación matemática del profesor. En este contexto, presentamos la discusión de una categoría, la cual evidencia la posibilidad de articulación entre las disciplinas de contenido matemático y la práctica del futuro profesor. Por medio de metodologías como el Trabajo con Proyectos, Modelado Matemático y uso de Softwares. Estos enfoques se constituyen como un camino para el desarrollo de estas disciplinas en la Licenciatura, ya que propician la exploración, investigación, visualización y aplicaciones de los conceptos, además de discusiones sobre la enseñanza de las Matemáticas en la Educación Básica.<strong></strong></p><p><strong>Palavras chave: </strong>Disciplinas de contenido matemático. Licenciatura en Matemáticas. Prácticas de entrenamiento.</p>


Author(s):  
Scott A. Chamberlin ◽  
Kelly Parks

The study was a comparison of general students of promise affect and mathematical students of promise affect after doing a mathematical modeling activity. Participants’ gender (n=160), in grades 7-8, were nearly equal in number (81 girls & 79 boys). After completing a Model-eliciting Activity (MEA) in groups of three, participants completed the 31-item Chamberlin Affective Instrument for Mathematical Problem Solving, hereafter referred to as CAIMPS (Chamberlin, Moore, & Parks, 2017). Using four subconstructs, it was determined that the only statistically significant difference in student affect among the groups was self-esteem and self-efficacy (SS) with the general students of promise group having a mean of 3.43 and the mathematical students of promise group having a mean of 3.76. Implications are that the difference in SS may have surfaced because of the mathematical demands of the problems that ultimately influenced participants’ ratings. Three subconstructs (Attitude Value Interest [AVI], Anxiety [ANX], and Aspiration [ASP]) may not have realized a statistically significant difference because they were not as contingent upon mathematical content knowledge as was SS. The final implication is that similar affective ratings may be an indication that MEAs are similarly suitable for use with groups containing individuals with varying talents.


2019 ◽  
Vol 11 (5) ◽  
pp. 71
Author(s):  
Reuben S. Asempapa ◽  
Derek J. Sturgill

Mathematics education researchers and policy documents in the United States have expressed the need to improve the teaching and learning of mathematical modeling at the K&ndash;12 levels so that students can apply their knowledge of mathematics to solve real-world situations. Unfortunately, most practicing teachers (PTs) and preservice teachers (PSTs) acquire didactical and pedagogical styles that do not support effective modeling practices. To investigate these dilemmas, this study examined PTs&rsquo; pedagogical experiences in and PSTs&rsquo; perspectives on mathematical modeling practices. Participants included 62 PTs and 18 PSTs from a Midwestern region of the United States. Data originated from questionnaire items and open-ended questions, which were analyzed quantitatively and qualitatively. Varied participants&rsquo; ideas on mathematical modeling practices were identified, recorded, and summarized. Results indicated that most of these PTs and PSTs have little to no experiences with mathematical modeling practices and associated pedagogies. Such results along with a supplemental discussion have implications for teacher education programs and professional development centered on mathematical modeling education.


2015 ◽  
Vol 46 (S 01) ◽  
Author(s):  
R. Lampe ◽  
N. Botkin ◽  
V. Turova ◽  
T. Blumenstein ◽  
A. Alves-Pinto

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