O ensino de matemática: uma proposta para a aprendizagem dos números

The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer

Educação de jovens e adultos: a construção das operações aritméticas em matemática

Working with adult students who attend literacy rooms has been set a challenge for educators, especially with regard to issues of learning mathematics. This work of course completion intention was to investigate the process of construction of arithmetic operations in mathematics from the perspective of the students themselves. Thus specific objectives were to investigate how these students face simple operations that can do this automatically on a daily basis, but not always systematized in the classroom; how these students think and communicate their ideas to the mental operation of the paper record. To this end we chose a qualitative research approach with characteristics of case study, conducted in a room of Youth and Adult participants with three ladies. The data collection occurred through the application of a semi-structured, audio recorded and later transcribed, which issues the verbalization sought and a description of how to give students the learning process of some mathematical content. The results showed that students bring with them skills, cultures and values to the classroom and that these are the basis for understanding the content. The teacher of adult education must take into consideration everything that the student brings to the classroom, their experiences, their history and culture, thus questioning the real world, so they can understand math in a way closer to their daily lives

As contribuições dos jogos para o desenvolvimento e aprendizagem da matemática em crianças da pré-escola

This research aimed do verify the contribution of the games of rules to the development and learning of the mathematics of a philantropic institution for preschool children – Centro de Educação Infantil Santo Antônio (CEISA) - from March to September 2010. The overall universe comprehends one teacher, one class auxiliary, one trainee, the organization teaching coordinator and twenty six students. The main objective was to explore games as a strategic resource for the development and learning, by searching auxiliary contributions for teaching the mathematics, and ways to wake and keep the interest of the students for the games as tools of development and learning; to identify important points for such development and learning by using games; to detect the difficulties of the students in the process of teaching-learning mathematics; to use games as a moment for fun; to show the teachers the possibilities of using ludic materials as methodic resources and to make interventions, by means of the games, to enhance the process of teaching-learning the matematics, through a qualitative approach, using the interview as instrument by means of an observation and study of case

Contribuições da leitura e escrita para a aprendizagem da matemática com textos de diferentes contextos

This work aims describe, through a phenomenological approach to qualitative research, which are the contributions of reading and writing of texts from different contexts for learning mathematics. For this purpose, we developed activities involving reading, writing and math in classes in the 6th grade of elementary school to a state school Guaratinguetá. These activities constituted the research data as part of the fieldwork. We analyzed the data following the procedures of this phenomenological research which they are described by Bicudo (1994, 2000, 2011), Fini (1994) and Machado (1994). We base our study on reading, writing and mathematics in Nacarato (2009), Lopes (2009), Smole (2000) and Fonseca (2005), among others. In the analysis, we seek to clarify how meaningful situations of different contexts, helping to develop skills in reading, writing and interpretation of the student, which in turn help the students at understanding mathematics. After the analysis of data, we named the two open categories: Difficulty of Expression and Communication Facilities. The interpretation of categories allows us to understand that there is, by individuals, a communicative intention that is expressed in the texts

Educação matemática em escolas inclusivas: a sala de recursos em destaque

Pós-graduação em Educação Matemática - IGCE

A aplicação de uma sequencia didática: caixa eletrônico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Futuros Matemáticos e suas concepções sobre o conhecimento matemático e seu ensino

Taking referential theoretical conceptions of mathematical knowledge present in some of the main mathematics philosophical currents and considering that the teacher´s practice is influenced by his conception of mathematical knowledge, this research aims to understand the conceptions of mathematical knowledge and its teaching and learning teaching of future mathematicians. It follows a qualitative approach (case study) in which the data were collected by semi-structured interviews and document analysis. This investigation has pointed out that Mathematics together with Mathematics Teaching (or part of this: on the didactic and pedagogical knowledge of how to teach) could be important to formation of the future mathematician, who will probably teach in a college or university.

Do improviso às possibilidades de ensino: estudo de caso de uma professora de matemática no contexto da inclusão de estudantes cegos

Pós-graduação em Educação Matemática - IGCE

Ensino e aprendizagem de matemática: o uso de recursos manipulativos em sala de aula

In this work, we understand the importance of the use of manipulative resources for learning mathematics. For both we developed a qualitative phenomenological approach. Performing a case study with nine 7th grade students of the Elementary School, we used the abacus of the integers to examine in what way the use of Abacus contributes to students learning. The choice of material was made according to the focus of research, understanding the signs rule. In the analysis and interpretation of data, highlight lines of students, subject of the research, units of meaning that allow us to say that the material using awakened interest in students Who actively participated in the research and enabled them to understand the rule of signs, to operate with integers enabled them to understand the rule of signs, to operate with integers

Daily Problem-Solving Warm-Ups: Harboring Mathematical Thinking In The Middle School Classroom

In this action research study of my classroom of 8th grade mathematics, I investigated the use of daily warm-ups written in problem-solving format. Data was collected to determine if use of such warm-ups would have an effect on students’ abilities to problem solve, their overall attitudes regarding problem solving and whether such an activity could also enhance their readiness each day to learn new mathematics concepts. It was also my hope that this practice would have some positive impact on maximizing the amount of time I have with my students for math instruction. I discovered that daily exposure to problem-solving practices did impact the students’ overall abilities and achievement (though sometimes not positively) and similarly the students’ attitudes showed slight changes as well. It certainly seemed to improve their readiness for the day’s lesson as class started in a more timely manner and students were more actively involved in learning mathematics (or perhaps working on mathematics) than other classes not involved in the research. As a result of this study, I plan to continue using daily warm-ups and problem-solving (perhaps on a less formal or regimented level) and continue gathering data to further determine if this methodology can be useful in improving students’ overall mathematical skills, abilities and achievement.

Ensino e aprendizagem de matemática: o uso de recursos manipulativos em sala de aula

In this work, we understand the importance of the use of manipulative resources for learning mathematics. For both we developed a qualitative phenomenological approach. Performing a case study with nine 7th grade students of the Elementary School, we used the abacus of the integers to examine in what way the use of Abacus contributes to students learning. The choice of material was made according to the focus of research, understanding the signs rule. In the analysis and interpretation of data, highlight lines of students, subject of the research, units of meaning that allow us to say that the material using awakened interest in students Who actively participated in the research and enabled them to understand the rule of signs, to operate with integers enabled them to understand the rule of signs, to operate with integers

Beyond questionnaires – Exploring adult education teachers' mathematical beliefs with pictures and interviews

Because of the impact that mathematical beliefs have on an individual’s behaviour, they are generally well researched. However, little mathematical belief research has taken place in the field of adult education. This paper presents preliminary results from a study conducted in this field in Switzerland. It is based on Ernest’s (1989) description of mathematics as an instrumental, Platonist or problem solving construct. The analysis uses pictures drawn by the participants and interviews conducted with them as data. Using a categorising scheme developed by Rolka and Halverscheid (2011), the author argues that adults’ mathematical beliefs are complex and especially personal aspects are difficult to capture with said scheme. Particularly the analysis of visual data requires a more refined method of analysis.

A Rap guanine nucleotide exchange factor enriched highly in the basal ganglia

Ras proteins, key regulators of growth, differentiation, and malignant transformation, recently have been implicated in synaptic function and region-specific learning and memory functions in the brain. Rap proteins, members of the Ras small G protein superfamily, can inhibit Ras signaling through the Ras/Raf-1/mitogen-activated protein (MAP) kinase pathway or, through B-Raf, can activate MAP kinase. Rap and Ras proteins both can be activated through guanine nucleotide exchange factors (GEFs). Many Ras GEFs, but to date only one Rap GEF, have been identified. We now report the cloning of a brain-enriched gene, CalDAG-GEFI, which has substrate specificity for Rap1A, dual binding domains for calcium (Ca2+) and diacylglycerol (DAG), and enriched expression in brain basal ganglia pathways and their axon-terminal regions. Expression of CalDAG-GEFI activates Rap1A and inhibits Ras-dependent activation of the Erk/MAP kinase cascade in 293T cells. Ca2+ ionophore and phorbol ester strongly and additively enhance this Rap1A activation. By contrast, CalDAG-GEFII, a second CalDAG-GEF family member that we cloned and found identical to RasGRP [Ebinu, J. O., Bottorff, D. A., Chan, E. Y. W., Stang, S. L., Dunn, R. J. & Stone, J. C. (1998) Science 280, 1082–1088], exhibits a different brain expression pattern and fails to activate Rap1A, but activates H-Ras, R-Ras, and the Erk/MAP kinase cascade under Ca2+ and DAG modulation. We propose that CalDAG-GEF proteins have a critical neuronal function in determining the relative activation of Ras and Rap1 signaling induced by Ca2+ and DAG mobilization. The expression of CalDAG-GEFI and CalDAG-GEFII in hematopoietic organs suggests that such control may have broad significance in Ras/Rap regulation of normal and malignant states.

Is Maths everywhere? Our students respond

Mathematics expresses itself everywhere, in almost every facet of life - in nature all around us, and in the technologies in our hands. Mathematics is the language of science and engineering - describing our understanding of all that we observe. In fact, Galileo said that Mathematics is the language with which God has written the universe. Aristotle defined mathematics as "the science of quantity", i.e., “the science of the things that can be counted”. Now you can think that counting has a vital role in our daily life; just imagine that there were no mathematics at all, how would it be possible for us to count days, months and years? Unfortunately, people usually ignore the connection between mathematics and the daily life. Most of university degrees require mathematics. Students who choose not to take seriously mathematics or to ignore it in high school, find several difficulties when they come up against them at the university. This study explores the perceptions of how mathematics influences our daily life among our students and how teachers can use this information in order to improve the academic performance. The used research instrument was a questionnaire that was designed to identify their understanding on learning mathematics.