Soundoff: Four Teacher-Friendly Postulates for Thriving in a Sea of Change

1994 ◽  
Vol 87 (6) ◽  
pp. 392-393
Author(s):  
Steven Leinwand
Keyword(s):  
Social Studies ◽  
Language Arts ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Gray Areas ◽  
The Way

Many of us chose mathematics teaching because it was always so neat and clean. We felt an affinity toward teaching and learning mathematics because it was orderly and logical. Almost always, we arrived at only one numerical answer by using one right procedure that could be easily graded either right or wrong. We knew that with our beloved mathematics, we suffered none of the gray areas that plague the disciplines of language arts and social studies. And we knew that we would be rewarded for teaching mathematics the way we ourselves were taught. But, oh, how things have changed!

Implementing the Professional Standards for Teaching Mathematics: Teaching and Learning Mathematics through Classroom Discussion

1993 ◽  
Vol 41 (4) ◽  
pp. 225-227 ◽  
Author(s):  
Nancy Nesbitt Vacc
Keyword(s):  
North Carolina ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Professional Standards ◽  
Teaching Mathematics ◽  
Mathematics Lesson ◽  
Grade Teacher ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Mathematics Teaching And Learning

Tien-Tien announced during the news of the day that her grandmother was coming for a visit. Her third-grade teacher later used this news to introduce the mathematics lesson as follows: ‘If Tien-Tien's grandmother leaves China tomorrow morning, how long do you think it will take her to arrive in North Carolina?” The discussion that followed included a variety of important questions and comments. “Is she going to fly or take a boat?” “How fast does a plane fly?” “Will she come this way (pointing to Europe on the map) or that way (Pacific Ocean)?” “Can she sleep on the plane or will she need to land someplace so she can sleep in a bed?” “Where can the plane land on the way here from China?” “How often does a plane need to land for gas?” “I know that my cousin in Chicago is one hour later than we are. If she has to land in Chicago. won't that make a difference in how we figure the time?”

Mogućnosti primene istraživački zasnovane nastave (IN) u početnom matematičkom obrazovanju

2021 ◽  
Author(s):  
Dragana Glogovac ◽  
◽  
Marina Milošević ◽  
Bojan Lazić ◽  
Keyword(s):  
Teaching And Learning ◽  
Teaching Practice ◽  
Teaching Mathematics ◽  
Teaching Process ◽  
Inquiry Based Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Key Competencies ◽  
Insight Into

Modern primary education, especially mathematics, requires constant innovation of teaching practice in order to modernize, rationalize, and efficiently the teaching process. Teaching mathematics should be experienced as a process that promotes learning with understanding, stimulates motivation, active learning, research, critical thinking, analysis, problem solving, drawing conclusions, exchange of experiences. The tendency to improve the quality of mathematics education has resulted in many studies pointing to the benefits of research-based mathematics (IN) teaching, known as inquiry-based learning (IBL), recognized as an essential way of organizing the teaching process to develop key competencies, abilities and skills in 21st century. Тhe aim of this paper is to see, based on a comprehensive theoretical analysis and the results of previous research. The created model of teaching mathematics based on research represents a useful framework for improving the quality of the process of teaching and learning mathematics, and empowers teachers in its application and affirmation, gaining insight into the way of organizing research learning.

scholarly journals Effective mathematics teaching in tertiary technological education: The case of ASPETE

2020 ◽  
Vol 7 (1) ◽  
pp. 158-168
Author(s):  
Katerina Kasimatis ◽  
Andreas Moutsios-Rentzos ◽  
Nikolaos Matzakos ◽  
Varvara Rozou ◽  
Dionisios Kouloumpis
Keyword(s):  
Mathematics Teaching ◽  
Teaching And Learning ◽  
Teaching Effectiveness ◽  
Learning System ◽  
First Year ◽  
Research Approach ◽  
Technological Education ◽  
First Year Students ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

In this mixed methods study, we draw upon a systemic perspective to investigate the way that effective mathematics teaching is constructed in the ASPETE (School of Pedagogical and Technological Education) learning system. We focused on the perspectives of the first-year students (through questionnaires), of the lecturer who taught the course (through interviews), as well as of the research team (through observations). We considered both the pragmatic level (what they actually experienced) and the desired level (what they would prefer to experience). The results of the conducted analyses support the proposed research approach, revealing convergences and divergences in the mapped perspectives, which identify the mathematics teaching effectiveness of the subsystem of the mathematics class in ASPETE as an emergent, systemic phenomenon. The pedagogical implications are discussed, with respect to the planifications of teaching and learning mathematics in the ASPETE learning system.

Connecting Research to Teaching: Probability and Statistics

1993 ◽  
Vol 86 (3) ◽  
pp. 244-248
Author(s):  
J. Michael Shaughnessy
Keyword(s):  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Classroom Communication ◽  
Approaches To Teaching ◽  
Evaluation Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Present Information ◽  
Probability And Statistics ◽  
The Many

This issue introduces a new department to the Mathematics Teacher, “Connecting Research to Teaching.” Articles will focus on mathematical and pedagogical ideas related to the NCTM's Curriculum and Evaluation Standards (1989) and the Professional Standards for Teaching Mathematics (1991). Authors will strive to present information to help teachers (1) understand students' conceptions or misconceptions of important ideas, (2) consider various approaches to teaching, and (3) offer activities that probe students' understanding. Although research offers no one correct answer to the many perplexing problems surrounding teaching and learning mathematics, the suggestions and perspectives may help teachers pursue their work with new insights. It is hoped that the department will also stimulate researchers to reflect on connecting research to the classroom. Communication and collaboration between teachers and researchers will benefit both groups and help each grow in appreciation of the other's tasks.

scholarly journals Online Learning during Covid-19: What is the Most Effective Platform for Teaching and Learning Mathematics?

2021 ◽  
Vol 4 (1) ◽  
pp. 166-178
Author(s):  
Mela Aziza
Keyword(s):  
Online Learning ◽  
Teaching Methods ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Islamic State ◽  
Online Questionnaire ◽  
State Institute ◽  
Strong Signal ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

The purpose of this research was to find how the first online learning implementation in the Department of Mathematics Education in The Islamic State Institute of Bengkulu during the Covid-19 pandemic. This research was qualitative research which was conducted in July as an evaluation of the first online learning from March until July. 90 students were chosen by purposive sampling and then given an online questionnaire. The results showed that there were some mathematical courses students took in the Even Semester 2019/2020. The platforms used by lecturers while teaching Mathematics were 39.6% WhatsApp Group, 22% Google Classroom, 13.2% Cisco Webex, and 25.2 % others. Platforms that were felt effective as online learning applications were 52.7% Cisco Webex, 26.4 % WhatsApp Group, 9.9% Zoom meeting, 5.5% Google Classroom, and 5.5% others. This is felt to be effective because it does not consume a lot of data packages, has a strong signal, and can be accessed at any time (WhatsApp Group and Google Classroom). In addition, this platform can be used for live conferencing / video calls using whiteboards which are deemed effective for teaching math material (Cisco Webex). However, several obstacles were found during the implementation of online learning, namely difficulties in obtaining sufficient internet data packages; limited network; difficult assignments and assessments; less effective teaching methods; and use of multiple applications.

scholarly journals In-Service Mathematics Teachers’ Beliefs About Teaching, Learning and Nature of Mathematics and Their Mathematics Teaching Practices

2018 ◽  
Vol 7 (5) ◽  
pp. 156
Author(s):  
Nahil Aljaberi ◽  
Eman Gheith
Keyword(s):  
Mathematics Teaching ◽  
Teaching Practices ◽  
Teaching And Learning ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Teachers Beliefs ◽  
Beliefs About Teaching ◽  
Nature Of Mathematics ◽  
Teaching Learning ◽  
Mathematics Teaching Practices

The aim of this study is four fold: (a) to investigate the beliefs of elementary (grades 1-3) and middle school (4-6 grades) math teachers about teaching, learning and nature of mathematics; (b) to explore their teaching practices of mathematics; (c) to study the impact of their educational qualifications, years of experience, major on their beliefs toward teaching, learning and nature of mathematics, and; (d) to explore the relationship between their beliefs about teaching learning and nature of mathematics and their teaching practices. Data were collected using two questionnaires: the Math Teacher Beliefs Scale and the Mathematics Teaching Practices Scale. The study sample consisted of 101 teachers who teach in 11 private schools located in Amman, Jordan. The result of this study showed that teachers’ beliefs towards teaching and learning mathematics are more inclined towards being constructive or mixed in between. It was also concluded that the teaching practices lean towards constructivism. There were no significant differences attributed to years of experience, academic level, major, or at what stage they teach, whether it revolves around the their beliefs towards teaching and learning mathematics or towards teaching practices (from teachers’ perspective). The study results revealed a statistically significant correlation between what the teachers believe and what teaching practices they put into use.

Teaching Mathematics Then and Now: Still Hazy after All These Years? A Reaction Paper to Algebra in the Elementary Schools

2007 ◽  
Vol 13 (5) ◽  
pp. 248-251
Author(s):  
Jennifer M. Bay-Williams
Keyword(s):  
Elementary School ◽  
Elementary Schools ◽  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching Algebra ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

In his song “Still Crazy after All These Years,” Paul Simon (1974) writes, “I seem to lean on old familiar ways.” Shipley's article “Algebra in the Elementary Schools,” written in 1912, offers the opportunity for us to reflect on what we have accomplished, what we have learned, and what remains hazy even 100 years later with respect to teaching and learning mathematics. Do we still lean on old familiar ways of teaching algebra? This article has many messages that are relevant to us today in thinking about algebra and about teaching and learning mathematics in general. In addition, it raises the following questions: How does Shipley's conception of algebra compare with our conception of it today? What broader issues does he address that are still prevalent today? How far have we come in our implementation of his ideas? What aspects of teaching and learning mathematics in elementary school remain hazy after all these years?

Visions of the Possible: Using Drawings to Elicit and Support Visions of Teaching Mathematics

2020 ◽  
Vol 8 (2) ◽  
pp. 59-80
Author(s):  
Jennifer Ruef
Keyword(s):  
Preservice Teachers ◽  
Teaching And Learning ◽  
Teacher Educators ◽  
Teacher Education Program ◽  
Teaching Mathematics ◽  
Nctm Standards ◽  
Mathematics Teacher Educators ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
One Year

Mathematics Teacher Educators (MTEs) help preservice teachers in transitioning from students to teachers of mathematics. They support PSTs in shifting what they notice and envision to align with the collective vision encoded in the AMTE and NCTM standards. This study analyzes drawings and descriptions completed at the beginning and end of a one-year teacher education program—snapshots depicting optimized visions of teaching and learning mathematics. This study analyzed drawings-and-descriptions by cohort and by participants. The findings suggest that the task can be used as formative assessment to inform supports for specific PSTs such as choosing a cooperating teacher or coursework that challenges problematic beliefs. It can also be used as summative assessment to inform revision of coursework for the next cohort.

scholarly journals Teachers to Teach Mathematics with ICT

2018 ◽  
Vol 3 (S1) ◽  
pp. 26
Author(s):  
P.C. Nagasubramani ◽  
J. Jerlin Femi
Keyword(s):  
Teaching And Learning ◽  
Teacher Educators ◽  
Teaching Mathematics ◽  
Development Programs ◽  
Pedagogical Content ◽  
Knowledge For Teaching ◽  
Body Of Knowledge ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Beliefs About Teaching

The challenge for mathematics teacher educators is to identify teacher preparation and professional development programs that lead toward the development of technology pedagogical content knowledge. TPCK is an important body of knowledge for teaching mathematics that must be developed in the coursework in teaching and learning, as well as within the coursework directed at developing mathematical knowledge. Preparing teachers to teach mathematics is highlighted by its complexities. What technologies are adequate tools for learning mathematics? What about teacher attitudes and beliefs about teaching mathematics with technology? What are the barriers? These questions and more frame the challenge for the development of a research agenda for mathematics education that is directed toward assuring that all teachers and teacher candidates have opportunities to acquire the knowledge and experiences needed to incorporate technology in the context of teaching and learning mathematics.

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