Promoting Equity in Elementary School Mathematics

This chapter describes the frameworks of mathematics tasks, equity-based mathematics teaching practices, technological pedagogical and content knowledge (TPACK), and how they relate to teaching for equity in virtual learning environments (VLE). The frameworks are used to describe vignettes from VLEs with elementary school learners and elementary school teacher candidates (future teachers). Implications of these vignettes include a need for an empirically based trajectory related to equity-based teaching practices as well as a need to consider which technologies in a VLE can be used to effectively promote equity-based mathematics teaching practices.

DISCUSSION CIRCLE FOR THE TEACHING-LEARNING OF STATISTICS

Conceptual appropriation is central to the teaching-learning and development processes. The intellectual stage is expressed by writing, verbalization and the use of the object under construction, among other means of expression. This paper discusses the conceptual appropriation by means of the creation of collaborative situations in which the argumentative language mediates the construction of knowledge. Supported by Vygotsky’s cultural-historical theory, Discussion Circle is an activity that consists of presenting some conceptual questions for the class to discuss in small groups initially, and then in a larger group, as a general meeting. Hence, we present the central ideas and theoretical support for the development of this activity and comment on a practice that took place during a course of Basic Statistics, part of the Teaching Program in Mathematics. Results indicate the conceptual development of students, which allows for the improvement of elementary school mathematics’ teacher education in terms of statistics studies, which is a strategic matter of importance for the broadening of society’s knowledge about this area. Abstract: Portuguese No processo de ensino-aprendizagem e desenvolvimento, a apropriação conceitual é central. O estágio intelectual se expressa, entre outras formas, pela escrita, verbalização e uso do objeto em construção. Este artigo discute a apropriação conceitual por meio da criação de situações colaborativas em que a linguagem da argumentação medeia a construção do conhecimento. A atividade Roda de Conversa, apoiada na teoria Histórico-Cultural de Vygotsky, consiste em propor algumas questões conceituais para a classe discutir, inicialmente em pequenos grupos e, a seguir, em uma reunião geral. Apresentamos as ideias centrais e os suportes teóricos para o desenvolvimento dessa atividade e comentamos sobre uma realização prática ocorrida em uma disciplina de Estatística Básica do curso de Licenciatura em Matemática. Os resultados encontrados indicam o desenvolvimento conceitual dos estudantes, colaborando com a melhoria da formação estatística do professor de Matemática da Educação Básica, questão estratégica na ampliação do conhecimento da sociedade sobre a área.

Understanding the concept of the Pi (π) number for pre-service teacher

<span>This study examined the learning of Pi (π) numbers in elementary school mathematics. This research was conducted by employing case study method containing a single case concerning the Pi (π) numbers. A total of 432 pre-service teachers participated in the study from the academic year of 2019-2020. This research employed observation, interview, and document analysis as the data collection tool. The conduct of the research involving the teachers and pre-service teachers was made in the classroom environment. The practice that participants posed for the account of Pi (π) number were analyzed by descriptive analysis technique in the scope of qualitative analysis. The data obtained from the participants were summarized and interpreted according to the predefined theme, and findings were arranged by a direct citation of the problems. Based on the analysis of the research, it showed that participants had problems in determining Pi (π) numbers as Pi (π) numbers are only taught by memorization methods. The teachers also did not understand about the source of Pi (π) number. Learning Pi (π) numbers are directly practiced through problems and formulas. Understanding the formula of plane figures is also not yet understood, so teachers and students basically only memorize the formula.</span>

INSTRUMENT DEVELOPMENT OF MATHEMATICS LEARNING OUTCOMES BY THE RASCH MODEL IN ELEMENTARY SCHOOL TO SUPPORT THE IMPLEMENTATION OF THE 2013 CURRICULUM

This research aims to produce a grid design of mathematics learning outcomes instruments at the elementary school level in implementing the 2013 Curriculum. This research is expected to bring about the availability of grid design and supporting devices for the implementation of elementary school mathematics learning outcomes instruments. Output which obtained in this study is to help teachers in the development system of assessment that is sustainable, focussing on aspect of the analysis of the level of difficulty gains and the level of ability of students to use the model of Rasch. The sustainability implementation of Curriculum 2013, which may involve the heads of schools, teachers and students and the other relevant. In terms of the effectiveness, fostering sustainable used as the focus of a major system development as an instrument to validate test by the teacher and doing test try limited to the four schools in Palu. At the first stage, the design of instrument is carried out in the form of lattice and grain instruments, pieces of observation and questionnaires, test the construct, and the revision of the group of teachers and students of the school elementary grade IV. Result of test respondents (elementary School students in Palu) obtained that the point about the difficulty is the question number 26 (S26) with a value logit 2,08. While the matter of the most easily is the matter of number 3 (S3) with a value logit -1,84. Result output tables obtained information that does not exist grain matter which does not meet all the requirements fit (oufit MNSQ, outfit ZSTD and Pt Mean Corr) so that the point about including category fit or appropriate.

Two-valued number pyramids

Number pyramids are common in elementary school mathematics. Trying to express the value of the top block in terms of the values at the base leads to the binomial coefficients. It also seems natural to ask for the maximal number of odd numbers in a number pyramid of a given size. The answer is easy to state, but the proof is nontrivial: A $$k$$ k step number pyramid can have at most $$\left\lfloor\frac{k(k+1)+1}{3}\right\rfloor$$ k ( k + 1 ) + 1 3 odd numbers, which equals two thirds of the number of blocks rounded to the nearest integer. All maximal and almost maximal solutions are given explicitly. To this end, we rephrase the question in terms of colored tilings. In the outlook we present relations to other—mostly geometric—subjects and problems.

Efektivitas Pengembangan Media Ular Tangga Berbantuan Kartu Angka

This study aims to produce research products in mathematics learning media, namely snakes and ladders assisted by number cards. In addition, this study aims to determine the feasibility of the snake and ladder media with the aid of number cards if it is applied to elementary school mathematics learning. The type of research used in this research is research and development using the ADDIE model (Analyze, Design, Development, Implementation, and Evaluation). The subjects in this study were the second-grade students of SD Negeri Blekatuk, while the object of this research was the snake and ladder media with the help of number cards. Data were obtained through the provision of response questionnaires and tests. The feasibility of the product is assessed based on valid, practical, and effective criteria. The research results through a questionnaire given to media experts, material experts, and expert practitioners meet the valid criteria with an average validity of 3.8. With the aid of a number card, the snake-and-ladder media fulfills practicality with a percentage of 79% for a limited trial and a percentage of 81% for a comprehensive trial. Both trials received a positive response. With the help of number cards, the snake and ladder media met the effectiveness criteria, with post-test results reaching 88%. These data indicate that the snake and ladder media, with the help of number cards developed in this study, is categorized as feasible and can be used in mathematics learning activities for elementary school students