Three Principles of Learning and Teaching Mathematics

Author(s):  
Guershon Harel
2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Nailul Himmi Hasibuan

Tulisan ini mengkaji tentang pemanfaatan autograph sebagai sumber belajar matematika yang dikombinasikan dengan Pembelajaran Berbasis Masalah (PBL). Pembelajaran berbasis masalah adalah suatu pembelajaran yang dimulai dengan masalah dunia nyata sehingga siswa agar dapat mengkonstruksi pengetahuannya sendiri dengan kemampuan berpikir yang dimilikinya, dengan mengacu pada lima langkah pokok, yaitu: orientasi siswa pada masalah, mengorganisir siswa untuk belajar, membimbing penyelidikan individual maupun kelompok, mengembangkan dan menyajikan hasil karya dan menganalisis dan mengevaluasi proses pemecahan masalah. Autograph adalah software software yang sangat serbaguna dan dinamis sebagai media pembelajaran untuk belajar dan mengajar matematika tingkat menengah berupa menggambar titik, ruas garis, vektor, garis, poligon, irisan kerucut, dan kurva dua dimensi. Dengan menerapkan model pembelajaran berbasis masalah yang memanfaatkan autograph dapat meningkatakan pemahaman konsep, penalaran, kemampuan berpikir kritis dan komunikasi matematis siswa. Kata Kunci: Pembelajaran Matematika, PBL, dan  AutographThis paper examines the use of autographs as a source of learning mathematics combined with Problem Based Learning (PBL). Problem-based learning is a learning that begins with real world issues so that students in order to construct his own knowledge with the ability to think it has, with reference to the five main steps, namely: orientation of students on the issue, organizing students to learn, guiding the investigation of individual and group, develop and present the work and analyze and evaluate the problem-solving process. Autograph software is software that is very versatile and dynamic as a learning medium for learning and teaching mathematics in the form of a mid-level draw point, line segment, vector, line, polygon, conic sections, and two-dimensional curve. By implementing problem based learning model that utilizes autographs can increase the understanding of concepts, reasoning, critical thinking skills and students' mathematical communication.                          Keywords: Learning Mathematics, PBL, and Autograph


2018 ◽  
pp. 216-236
Author(s):  
Samantha Analuz Quiroz Rivera ◽  
Ruth Rodríguez Gallegos

Mathematics cannot be reduced to the use of algorithms. The main objective of teaching mathematics in school is their application in real world situations. Mathematical modeling was born as an answer of this concerned and implies the relation between mathematics and applications. Because of that, teachers need to be correctly training in the use of mathematical modeling in their daily lesson plans. The aim of this study is to propose a methodology for help teachers purchase mathematical modeling as a strategy to teach mathematics. Our methodology is based on the analysis of teachers' conceptions about learning and teaching mathematics and after that promote their evolution. The main characteristic is the collaborative work between teachers and the researcher in cycles of discussion and classes' implementation. The evidence showed that teachers can actually change their conceptions about what is needed for teaching mathematics and design lesson plans using mathematical modeling.


Author(s):  
Samantha Analuz Quiroz Rivera ◽  
Ruth Rodríguez Gallegos

Mathematics cannot be reduced to the use of algorithms. The main objective of teaching mathematics in school is their application in real world situations. Mathematical modeling was born as an answer of this concerned and implies the relation between mathematics and applications. Because of that, teachers need to be correctly training in the use of mathematical modeling in their daily lesson plans. The aim of this study is to propose a methodology for help teachers purchase mathematical modeling as a strategy to teach mathematics. Our methodology is based on the analysis of teachers' conceptions about learning and teaching mathematics and after that promote their evolution. The main characteristic is the collaborative work between teachers and the researcher in cycles of discussion and classes' implementation. The evidence showed that teachers can actually change their conceptions about what is needed for teaching mathematics and design lesson plans using mathematical modeling.


1987 ◽  
Vol 18 (4) ◽  
pp. 325-328

The Research Advisory Committee in 1985 proposed to the National Science Foundation that it provide funding for a series of working conferences and monographs. The rationale behind this proposal was the belief that the time was ripe to establish research agendas in several areas of learning and teaching mathematics and to provide a conceptual framework to guide such inquiry.


2008 ◽  
Vol 108 (8) ◽  
pp. 345-354 ◽  
Author(s):  
Hortensia Soto-Johnson ◽  
Michele Iiams ◽  
Todd Oberg ◽  
Barbara Boschmans ◽  
April Hoffmeister

Sign in / Sign up

Export Citation Format

Share Document