A complementary survey on the current state of teaching and learning of Whole Number Arithmetic and connections to later mathematical content

ZDM ◽  
2019 ◽  
Vol 51 (1) ◽  
pp. 1-12 ◽  
Author(s):  
Xu Hua Sun ◽  
Yan Ping Xin ◽  
Rongjin Huang
2006 ◽  
Vol 3 (4) ◽  
Author(s):  
Carryn Bellomo

Teaching and learning standards across the country are becoming more content driven, especially in mathematics.  As such, it is essential to develop substantive college level math courses for pre-service and in-service teachers.  These courses should deliver mathematical content in a relevant way.  Teachers must not only be proficient in their subject, but also recognize how to apply content meaningfully to student’s lives.  As part of a grant funded through the Department of Education in coordination with the Clark County School District, I have designed two college level courses that will deliver mathematical content standards to middle school teachers.  These courses will help prepare teachers at the middle school level by focusing on mathematical content, making connections within the curriculum, using technology, and enhancing the role of mathematics in everyday life and problem solving. The primary purpose of this paper is to share with the academic community the projects used to develop content understanding in mathematics topics such as:  mathematical notation, proportion, computation, estimation, linear regression, reflections, translations, finding relationships, and analyzing data.  This paper will present these projects, and tie them to mathematics standards outlined in the Clark County School District (and Nevada State) Standards.


Author(s):  
Luiz Otavio Rodrigues Mendes ◽  
Ana Lucia Pereira ◽  
Marcelo Carlos de Proença

ResumoA resolução de problemas, quando trabalhada com o problema como ponto de partida, tem apresentado profícuas possibilidades no ensino superior. No entanto, quais as possíveis fragilidades quando se trabalha com esta abordagem nesta perspectiva? À vista disso, este artigo apresenta o resultado de uma pesquisa que tem como objetivo desvelar as fragilidades que se evidenciam a partir do desenvolvimento da abordagem de resolução de problemas, em que se tem o problema como ponto de partida na formação inicial de professores de Matemática, apresentadas em teses e dissertações. A partir de uma revisão sistemática da literatura, encontramos 12 pesquisas que constituíram o corpus de dados, para serem analisadas seguindo as técnicas de Análise de Conteúdo, de onde foi possível identificarmos quatro categorias. Os principais resultados revelam que as fragilidades se relacionam com: I) dificuldades quanto à falta de conhecimento sobre o conteúdo matemático da educação básica pelos licenciandos; II) dificuldades apresentadas pelos licenciandos em comunicar suas ideias a respeito do conteúdo matemático trabalhado; III) dificuldade no entendimento dos problemas pelos estudantes; e, IV) dificuldades relativas ao tempo, referentes à realização das atividades pelos licenciandos e ao desenvolvimento da abordagem de ensino. Tais apontamentos podem contribuir com pesquisas futuras que desejem traçar este caminho, aprimorando-as e contribuindo com o processo de ensino e aprendizagem da Matemática.Palavras-chave: Solução de problemas, Formação inicial de professores, Matemática.AbstractWhen working with the problem as a starting point, problem-solving has presented fruitful possibilities in Higher Education. However, what are the possible weaknesses when working with this approach from this perspective? In view of this, this article presents the result of research that aims to unveil the fragilities that are evident from the development of the problem-solving approach, in which the problem is taken as a starting point in the initial training of mathematics teachers, presented in theses and dissertations. From a systematic review of the literature, we found 12 surveys that constituted the corpus of data, to be analyzed following the Content Analysis techniques, from which it was possible to identify four categories. The main results reveal that the weaknesses are related to I) difficulties related to the students’ lack of knowledge about the mathematical content of basic education; II) students’ difficulties to communicate their ideas about the mathematical content worked; III) students’ difficulty in understanding the problems; and, IV) difficulties related to time, concerning the students’ activity performance and the development of the teaching approach. Such notes can contribute to future research that wishes to follow this path, improving them and contributing to the process of teaching and learning Mathematics.Keywords: Problem-solving, Initial teacher education, Mathematics.ResumenLa resolución de problemas cuando se trabaja con el problema como punto de partida, ha presentado posibilidades fructíferas en la educación superior. Sin embargo, ¿cuáles son las posibles debilidades de entender y trabajar con este enfoque en esta perspectiva? En vista de esto, este artículo presenta el resultado de una investigación que tiene como objetivo develar las debilidades que se evidencian a partir del desarrollo del enfoque de resolución de problemas, en el que el problema se toma como punto de partida en la formación inicial de docentes de Matemáticas, presentadas en tesis y disertaciones. A partir de una revisión sistemática de la literatura, se encontraron 12 investigaciones que constituían el corpus de datos, para ser analizadas siguiendo las técnicas de Análisis de Contenido de manera cualitativa. Los principales resultados revelan que las debilidades están relacionadas con I) dificultades relacionadas con la falta de conocimiento sobre el contenido matemático de la Educación Básica por parte de los estudiantes de docencia, II) dificultades presentadas por los estudiantes de docencia para comunicar sus ideas sobre el contenido matemático trabajado, III) dificultad presentada por los alumnos para comprender problemas y IV) dificultad relacionada con el tiempo para desarrollar actividades y aplicar el enfoque. Tales notas pueden contribuir a futuras investigaciones que deseen trazar este camino, mejorarlas y contribuir al proceso de enseñanza y aprendizaje de las Matemáticas.Palabras clave: Resolución de problemas, Formación inicial de profesores, Matemáticas


Author(s):  
Mark Angelo C. Reotutar

The online learning platform (OLS) is currently the new normal learning setting amidst the Covid-19 pandemic. Teachers need to look on the other side of the traditional classroom-based learning mode to make teaching and learning in the new normal possible. It aimed to analyze the current state of the teacher education freshmen applicants concerning the new normal learning platforms. This study employed a descriptive method of research and considered a sample of 85 freshmen applicants in the College of Teacher Education in the academic year 2020-2021. The frequencies and percent value was used to analyze the data gathered. The following are the verdicts of the study, the bulk of the respondents belong to low-income families with farming as their family source of income. Most of the respondents have their mobile phones while the great majorities are using mobile data only. All of the respondents do not have any idea about the different platforms in online learning. Based on the findings, the researcher concluded that the freshmen applicants in the College of Teacher Education cannot totally survive and are not yet ready to embrace the new normal learning platforms due to poverty and lack of resources. It is therefore recommended that the University administration needs to open other sources of learning platforms such as the use of printed learning materials of which will be delivered door-to-door to the students. Besides, the College of Teacher Education should plan and initiate on how to make learning flexible and more engaging.


Author(s):  
Catherine Attard

The fast pace of technology has meant that new technologies are often being introduced into classrooms without knowledge of how they can be used to enhance teaching and learning in mathematics. This chapter explores how a small group of teachers used a new technology, the iPad, to teach mathematics within the first six months of their implementation and without the support of professional development. Findings from two separate studies are presented to support the argument that care should be taken when introducing any new technology to teach mathematics in primary classrooms and appropriate professional development that addresses the combination of mathematical content, pedagogy and technology is critical for all teachers, regardless of teaching experience.


Author(s):  
Lennie Scott-Webber

Too many stakeholders are ignoring too much scientific research and the net resulting outcome is too many students are left behind academically. Significant and strategic changes must occur quickly to correct this fundamental outcome. This chapter explores issues relative to the current state of classroom design and why they haven't changed systemically in over 4000 years. Definitions of active learning and behavioral research basics, the nature of the physical learning place, Evidence-Based Designs (EBD) solutions and examples of solution features and capabilities impacting pedagogy (i.e., teaching and learning strategies), technology and spaces are shared. Metrics of ‘proof' of engagement impact are cited, and this author argues that space provides behavioral cues. To simplify the complexity of moving from a teacher-centric paradigm and design solutions to a learner-centric one, two important items for consideration are presented: 1) a formula guiding deep learning parameters for all stakeholders and 2) a decision-makers' checklist.


2016 ◽  
pp. 689-709
Author(s):  
Catherine Attard

The fast pace of technology has meant that new technologies are often being introduced into classrooms without knowledge of how they can be used to enhance teaching and learning in mathematics. This chapter explores how a small group of teachers used a new technology, the iPad, to teach mathematics within the first six months of their implementation and without the support of professional development. Findings from two separate studies are presented to support the argument that care should be taken when introducing any new technology to teach mathematics in primary classrooms and appropriate professional development that addresses the combination of mathematical content, pedagogy and technology is critical for all teachers, regardless of teaching experience.


2020 ◽  
Vol 10 (21) ◽  
pp. 7859 ◽  
Author(s):  
Luis Salvador-Ullauri ◽  
Patricia Acosta-Vargas ◽  
Sergio Luján-Mora

Nowadays, serious games, called training or learning games, have been incorporated into teaching and learning processes. Due to the increase of their use, the need to guarantee their accessibility arises in order to include people with disabilities in the educational environments in an integral way. There are reviews of the literature on video games but not on web-based serious games. Serious games are different from the previous ones because their educational processes allow reinforcing learning. This literature review was conducted using the recommendations for systematic reviews proposed by Kitchenham and Petersen. Three independent reviewers searched the ACM Digital Library, IEEE Xplore, Scopus, and Web of Science databases for the most relevant articles published between 2000 and 2020. Review selection and extraction were made using an interactive team approach. We applied the study selection process’s flowchart adapted from the PRISMA statement to filter in three stages. This systematic literature review provides researchers and practitioners with the current state of web-based serious games and accessibility, considering cognitive, motor, and sensory disabilities.


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