How to Free Your Inner Mathematician

2020 ◽  
Author(s):  
Susan D'Agostino
Keyword(s):  
Fuzzy Logic ◽  
Mathematics Teaching ◽  
Knot Theory ◽  
Teaching Experience ◽  
Impossibility Theorem ◽  
Mathematics Students ◽  
Mathematical Content ◽  
Mathematical Background ◽  
Award Winning ◽  
Mathematical Success

How to Free Your Inner Mathematician: Notes on Mathematics and Life offers readers guidance in managing the fear, freedom, frustration, and joy that often accompany calls to think mathematically. With practical insight and years of award-winning mathematics teaching experience, DAgostino offers more than 300 hand-drawn sketches alongside accessible descriptions of fractals, symmetry, fuzzy logic, knot theory, Penrose patterns, infinity, the Twin Prime Conjecture, Arrows Impossibility Theorem, Fermats Last Theorem, and other intriguing mathematical topics. Readers are encouraged to embrace change, proceed at their own pace, mix up their routines, resist comparison, have faith, fail more often, look for beauty, exercise their imaginations, and define success for themselves. Mathematics students and enthusiasts will learn advice for fostering courage on their journey regardless of age or mathematical background. How to Free Your Inner Mathematician delivers not only engaging mathematical content but provides reassurance that mathematical success has more to do with curiosity and drive than innate aptitude.

Introducing iPads into Primary Mathematics Classrooms

2015 ◽  
pp. 193-213 ◽  
Author(s):  
Catherine Attard
Keyword(s):  
Professional Development ◽  
Small Group ◽  
Teaching And Learning ◽  
New Technologies ◽  
New Technology ◽  
Teaching Experience ◽  
Mathematical Content ◽  
Mathematics Classrooms ◽  
Primary Classrooms ◽  
Fast Pace

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.

Introducing iPads into Primary Mathematics Classrooms

2016 ◽  
pp. 689-709
Author(s):  
Catherine Attard
Keyword(s):  
Professional Development ◽  
Small Group ◽  
Teaching And Learning ◽  
New Technologies ◽  
New Technology ◽  
Teaching Experience ◽  
Mathematical Content ◽  
Mathematics Classrooms ◽  
Primary Classrooms ◽  
Fast Pace

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.

The Decision-Making Protocol for Mathematics Coaching: Addressing the Complexity of Coaching With Intentionality and Reflection

2019 ◽  
Vol 7 (2) ◽  
pp. 27-43 ◽  
Author(s):  
Courtney Baker ◽  
Melinda Knapp
Keyword(s):  
Decision Making ◽  
Mathematics Teaching ◽  
Professional Growth ◽  
Classroom Practices ◽  
Success For All ◽  
Classroom Teachers ◽  
Mathematics Coaching ◽  
Mathematics Coaches ◽  
Mathematical Success ◽  
Coaching Activities

More than ever, mathematics coaches are being called on to support teachers in developing effective classroom practices. Coaching that influences professional growth of teachers is best accomplished when mathematics coaches are supported to develop knowledge related to the work of coaching. This article details the implementation of the Decision-Making Protocol for Mathematics Coaching (DMPMC) across 3 cases. The DMPMC is a framework that brings together potentially productive coaching activities (Gibbons & Cobb, 2017) and the research-based Mathematics Teaching Practices (MTPs) in Principles to Actions: Ensuring Mathematical Success for All (NCTM, 2014) and aims to support mathematics coaches to purposefully plan coaching interactions. The findings suggest the DMPMC supported mathematics coaches as they worked with classroom teachers while also providing much-needed professional development that enhanced their coaching practice.

Engaging Students with Mathematics through Play

2018 ◽  
Vol 24 (3) ◽  
pp. 179-183
Author(s):  
Karina K. R. Hensberry ◽  
Ian Whitacre ◽  
Kelly Findley ◽  
Jennifer Schellinger ◽  
Mary Burr Wheeler
Keyword(s):  
Mathematics Teaching ◽  
Teaching Practices ◽  
Success For All ◽  
Virtual Tools ◽  
Link Type ◽  
University Of Colorado ◽  
Mathematical Success ◽  
The University ◽  
Interactive Simulations ◽  
Mathematics And Science

Mathematics teaching that provides opportunities for play embodies many of the Mathematics Teaching Practices described in Principles to Actions: Ensuring Mathematical Success for All (NCTM 2014). PhET interactive simulations (or sims), developed by the PhET Project at the University of Colorado Boulder (http://phet.colorado.edu), are freely available virtual tools that promote play and exploration in mathematics and science topics for K-16 students.

Analyzing the Determinants of Teachers’ Mathematics Teaching Competencies in Upper Primary Phase: Evidence from Namibia

2015 ◽  
Vol 2 (4) ◽  
pp. 35-47 ◽  
Author(s):  
Geoffrey Nambira
Keyword(s):  
Mathematics Teachers ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Experience ◽  
Primary Phase ◽  
Teaching Mathematics ◽  
Teaching Materials ◽  
Teaching Competencies ◽  
Training Programmes

The purpose of this study was to assess the extent to which predictors of teachers’ competencies in teaching mathematics predict the outcomes of mathematics performance among learners at upper primary phase. The determinants were namely gender, teaching experience, region, qualification, and fields of study exert effect on teachers’ competencies in lesson planning and preparation, assessment and evaluation of learners, lesson delivery, the use of teaching strategies, the quality of homework, and the availability of teaching materials. The generic understanding of the impacts of predictors of teaching competencies on learners’ performance significantly informs the development of training programmes components, and teaching and learning processes across the schooling system. Shulman’s theory of teacher content and pedagogical knowledge underpinned the study. The study comprised of holistic samples of 117 mathematics teachers at upper primary phase teachers from 39 schools. The selection of three schools from each region followed three criteria, namely outstanding, moderate, and lower performances in Grade 10 examination. Data is collected from classroom observation and analysis of relevant documents. The findings show that predictor variables such as gender, teacher qualification, teaching experience, field of study, and region exerted effects on the way teachers plan and prepare the lesson, deliver the lesson, assess and evaluate learners, use the teaching materials, and the quality of work. Teachers who specialized in mathematics were more competent in mathematics teaching. The results presuppose that predictors of teachers’ competencies in teaching mathematics are essential for improving teaching and learning of mathematics in schools. The outcome of this study is beneficial to education officials who are directly responsible for coordinating the teaching of mathematics in schools and the allocation of teaching subjects, particularly mathematics. The findings showed that a number of teachers were not trained mathematics. This was an indication of the existing shortage of mathematics teachers in schools nationally. Untrained mathematics teachers negatively influenced learners’ performance. These outcomes implied that education planners at the national, regional and district levels should set up strategies on how to increase the production of mathematics teachers nationally in order to meet the demand of such teachers in schools.

scholarly journals THE IMPLEMENTATION OF SCHOOL MATHEMATICS TEACHING LEARNING IN IMMANUEL BONANG

2020 ◽  
Vol 4 (3) ◽  
pp. 242
Author(s):  
Oce Datu Appulembang ◽  
Kurnia Putri-Sepdikasari Dirgantoro ◽  
Jacob Stevy Seleky
Keyword(s):  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Experience ◽  
School Mathematics ◽  
After School ◽  
Learning Center ◽  
Education Students ◽  
Practice Teaching ◽  
And Mathematics ◽  
Teaching Learning

<p><em>Guidance and assistance in learning are necessary for every child, whether it is for the students who have attended school or not. Most of the parents who live in the Bonang area can not fulfill this activity. Parents who have not be able to accompany their children in learning after school are caused several factors, namely cognitive inability of parents, the busyness of parents in work, and the inability of parents economically to send their children to learning center, and some are even do not trust some learning center. Mathematics education students are prepared in the field of school mathematics teaching and learning expertise. For them, this activity is a valuable opportunity to gain teaching experience, as well as learning to implement the theories that have been learned, both in terms of pedagogy and mathematics. The purpose of this community is as a place to synchronize students’ need to implement their learning practices with the needs of schoolchildren</em> <em>around Bonang. The activity is in the form of assistance at one of the residents’ houses in Bonang. The benefits of this assistance activity are felt by all parties, schoolchildren</em> <em>as learning participants receive learning guidance in terms of cognitive and character, parents who are assisted and feel happy to see children's development in education, and the tutors can directly learn to implement knowledge and practice teaching.</em></p><p><strong>ABSTRACT (INDONESIAN):</strong> Bimbingan dan pendampingan belajar diperlukan oleh setiap anak, baik yang bersekolah maupun yang tidak bersekolah. Kegiatan tersebut belum dapat dipenuhi oleh sebagian besar orang tua yang berdomisili di daerah Bonang. Orang tua yang belum dapat mendampingi anak-anaknya dalam belajar sepulang sekolah disebabkan oleh beberapa faktor yaitu ketidakmampuan orang tua secara kognitif, kesibukan orang tua dalam bekerja dan ketidakmampuan orang tua secara ekonomi untuk mengikutsertakan anaknya di dalam bimbingan belajar yang bersifat komersial, bahkan ada yang kurang percaya pada bimbingan belajar tertentu. Mahasiswa pendidikan matematika dipersiapkan pada bidang keahlian belajar mengajar matematika sekolah. Bagi mahasiswa, kegiatan tersebut merupakan kesempatan yang berharga untuk mendapatkan pengalaman mengajar, sekaligus belajar untuk mengimplementasikan teori yang sudah dipelajari, baik dari segi pedagogy maupun keilmuan matematika. Tujuan dari kegiatan ini adalah sebagai wadah untuk mensinkronisasikan kebutuhan mahasiswa untuk mengimplementasikan praktik pembelajaran mereka dengan kebutuhan anak sekolah di sekitar Bonang. Adapun kegiatan bimbingan belajar tersebut diselenggarakan di rumah salah satu warga di Bonang. Manfaat kegiatan bimbingan belajar ini dirasakan oleh semua pihak, anak-anak sekolah sebagai peserta belajar mendapatkan bimbingan belajar dari segi koginitif dan karakter, orangtua yang terbantukan dan merasa bahagia melihat perkembangan anak dalam pendidikan dan mahasiswa pendidikan matematika yang menjadi tutor dapat secara langsung belajar mengimplementasikan ilmu dan praktek mengajarnya.</p>

scholarly journals INTEREST OF LATVIAN AND LITHUANIAN STUDENTS IN SCIENCE AND MATHEMATICS

2018 ◽  
Vol 17 (1) ◽  
pp. 31-42 ◽  
Author(s):  
Dagnija Cēdere ◽  
Inese Jurgena ◽  
Vilija Targamadze
Keyword(s):  
Factor Analysis ◽  
Learning Process ◽  
Mathematics Teaching ◽  
Leisure Time ◽  
Mathematics Students ◽  
Interest In Science ◽  
Practical Life ◽  
And Mathematics ◽  
Teaching Learning ◽  
Successful Teaching

Interest is one of the most important components for a successful teaching/learning process; unfortunately, nowadays students’ interest in science and mathematics is decreasing. The aim of the research is to explore the cognitive interest of 15-year- old students in science and mathematics. Students in Latvia and Lithuania participated in the survey; the data show that students’ cognitive interest in this area in both countries is mediocre. The factor analysis was used to single out four main dimensions of the cognitive interest – interest in the context, interest in mathematics, inquiry interest and enthusiasm. Students’ interest is higher in issues connected with practical life, the solution of real problems, but much lower if the problem to be solved needs effort, if they have to use mathematical tools. Enthusiasm is not characteristic for students. Only few respondents are willing to engage in science and mathematics in their leisure time. Latvian and Lithuanian students show slight differences in their interests. There are more Lithuanian students, who like mathematics and who are not afraid of difficulties. Latvian students, in their turn, show greater enthusiasm. Keywords: cognitive interest, science and mathematics, teaching/learning process.

scholarly journals O ensino híbrido como instrumento de recuperação paralela no Instituto Federal de Educação, Ciência e Tecnologia de São Paulo

2020 ◽  
Vol 9 (1) ◽  
Author(s):  
ELIANA CALIXTO SANTOS ◽  
CELINA APARECIDA ALMEIDA PEREIRA ABAR
Keyword(s):  
High School ◽  
Blended Learning ◽  
Learning Environments ◽  
Learning Process ◽  
Mathematics Teaching ◽  
Learning Method ◽  
Mathematical Content ◽  
Technical High School ◽  
Recovery Program ◽  
Vocational Technical High School

ResumoO objetivo deste artigo, parte de uma tese em andamento, é apresentar possibilidades de ambientes de aprendizagem, com o uso de tecnologia e materiais personalizados aos alunos, quando detectadas defasagens no seu processo de aprendizagem nos conteúdos de matemática. A maioria dos alunos matriculados nos cursos Técnicos Profissionalizantes de Nível Médio, não conseguem frequentar as aulas de recuperação paralela ofertadas pelo IFSP de forma presencial e no contraturno, pela disponibilidade de horário, conforme preconiza a legislação em vigor. Sendo assim, a pesquisa em desenvolvimento consiste em adaptar a plataforma Moodle, já utilizada pelos alunos do IFSP, e desenvolver um programa de recuperação paralela para os alunos ingressantes dos cursos Técnicos Profissionalizantes de Nível Médio do IFSP, por meio do método de Ensino Híbrido na sua modalidade Flex, permitindo que os alunos, cumpram as atividades, personalizadas pelo professor, em seu próprio ritmo. A questão consiste em verificar se a proposta poderá ser adotada pela instituição após o conhecimento dos resultados obtidos. Palavras-chave: Ensino Híbrido; Recuperação Paralela; Ensino de Matemática.AbstractThe purpose of this article (which is part of an ongoing thesis) is to present possibilities for learning environments using technology and personalized materials to students when gaps in their learning process are detected in the mathematical content. Most students enrolled in the Vocational-Technical High School courses are unable to attend the parallel recovery classes offered by the IFSP in person and the evening, due to the availability of hours, as recommended by the legislation in force. Therefore, the research in development consists of adapting the Moodle platform, already used by IFSP students, and developing a parallel recovery program for students entering the IFSP Technical High School courses, using the Blended Learning method at its Flex mode allowing students to carry out activities personalized by the teacher at their own pace. The question is to verify if the proposal can be adopted by the institution after knowledge of the results obtained.Keywords: Blended Learning; Parallel Recovery; Mathematics Teaching. 

Choosing Mathematical Examples: Routine but Not an Easy Task

2013 ◽  
Vol 63 (2) ◽  
Author(s):  
Faridah Sulaiman ◽  
Mohini Mohamed
Keyword(s):  
Mathematics Teachers ◽  
Teaching Practices ◽  
Teaching Experience ◽  
Teaching Mathematics ◽  
Mathematical Content ◽  
Easy Task ◽  
Mathematical Ideas ◽  
Communication Device ◽  
Routine Tasks

Choosing examples for the purpose of teaching mathematics is routine tasks done by every mathematics teachers. Examples are an important medium used by mathematics teachers as a communication device to discuss mathematical content with their students (Leindhart, 2001). Through examples, students build their understanding about mathematical ideas. In spite of the important role played by mathematical examples, the knowledge about mathematical exemplification is not formally taught to the teachers. It has to be built by the teachers through their teaching experience (Zaslavsky & Zodik, 2007). The purpose of this study is to capture this knowledge. We study six Excellent Mathematics Teachers teaching practices using pre-active notes, observation and interview in order to know the things that influence their choice of examples.  Findings show that although choosing examples is a routine task, but it seems that it is not an easy one.

Introducing iPads into Primary Mathematics Classrooms

2016 ◽  
pp. 612-631
Author(s):  
Catherine Attard
Keyword(s):  
Professional Development ◽  
Small Group ◽  
Teaching And Learning ◽  
New Technologies ◽  
New Technology ◽  
Teaching Experience ◽  
Mathematical Content ◽  
Mathematics Classrooms ◽  
Primary Classrooms ◽  
Fast Pace

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.

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