Enquiry as a vehicle for teaching and learning mathematics ■ using enquiry as part of teaching mathematics ■ the importance of an accessible start ■ the role of the teacher ■ how enquiry enables students to work independently and collaboratively ■ how progress is assessed

2012 ◽  
pp. 83-96
Keyword(s):  
Teaching And Learning ◽  
Teaching Mathematics ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics

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.

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.

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?

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!

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.

scholarly journals Representation in Teaching and Learning Mathematics

2020 ◽  
Vol 9 (1) ◽  
pp. 1-21
Author(s):  
Bhesh Mainali
Keyword(s):  
Mathematics Education ◽  
Teaching And Learning ◽  
Multiple Modes ◽  
Modes Of Representation ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Research Studies

Representation is an important element for teaching and learning mathematics since utilization of multiple modes of representation would enhance teaching and learning mathematics. Representation is a sign or combination of signs, characters, diagram, objects, pictures, or graphs, which can be utilized in teaching and learning mathematics. Normally, there are four modes of representations in the domain of mathematics: (1) verbal, (2) graphic (3) algebraic, and (4) numeric. Certain type of representations can be dominant in teaching and learning mathematics; however, representation needs to be translated from one mode to another mode. Translation of modes of representation is an important skill that learners need to develop in order to be more proficient in learning mathematics. In the last couple of decades, the role of representation in mathematics education has been increased but requires more research studies to explore various aspects of representations.

Using Problems to Implement the NCTM's “Professional Teaching Standards'

1994 ◽  
Vol 87 (1) ◽  
pp. 5-7
Author(s):  
Millard E. Showalter
Keyword(s):  
Teaching And Learning ◽  
Professional Standards ◽  
Mathematical Tasks ◽  
Teaching Mathematics ◽  
Mathematical Ideas ◽  
Teaching Standards ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Professional Teaching Standards ◽  
Professional Teaching

As set forth in the Professional Standards for Teaching Mathematics (NCTM 1991), a primary goal for teaching and learning mathematics is the development of mathematical power for all students. To accomplish this goal, the teaching standards document recommends that teachers select interesting and intellectually stimulating mathematical tasks, present opportunities for students to deepen their understanding of mathematics and its applications, promote the investigation of mathematical ideas, use technology to pursue these investigations, find connections to previous and developing knowledge, and employ cooperativelearning experiences (NCTM 1991, 1).

scholarly journals E-Learning in the School: Applied to Teaching Mathematics in Portugal

10.28945/3069 ◽  
2007 ◽  
Author(s):  
Maria Joao Gongalves ◽  
Claus Kaldeich
Keyword(s):  
Information And Communication Technologies ◽  
Teaching And Learning ◽  
Communication Technologies ◽  
Learning Activities ◽  
Teaching Mathematics ◽  
Teaching And Learning Mathematics ◽  
Learning Mathematics ◽  
Information And Communication ◽  
E Learning ◽  
At Home

In this paper will be present a snapshot of the situation of teaching and learning Mathematics in Portugal, as well as some statistics which pose the reality of this subject in the school rooms and homes of this country. Further will be present some applications of the Information and Communication Technologies (ICT) to improve the teaching and learning activities of Mathematics, in the school room and at home. Some platforms which support the e-learning will be present too, as motivation to apply these technologies in a larger scale in the education in Portugal or in other countries.

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