scholarly journals On the Selection and Layout of Advanced Mathematics Course Content

Author(s):  
Wenxi Duan
2020 ◽  
Vol 26 (4) ◽  
pp. 82-91
Author(s):  
Nursaule Baimakhan ◽  
◽  
Raskul Ibragimov

This article discusses the features of using the Maple package in a school math course. The school mathematics course consists of basic mathematical concepts, ideas and principles. The scientific nature of the course content and the abstract nature of the topics studied make this course difficult to study in the classroom. The current situation with the coronavirus pandemic has completely eliminated full-time education and made distance education more relevant. The share of independent work of students has increased significantly. This negatively affects the ability to read and understand very complex material. In this regard, the choice of the Maple package as a method of computer technology and its technological possibilities for the organization of independent work of students in school mathematics courses are justified. The authors of the article developed a technology of teaching using the Maple package for school mathematics courses on the basis of the South Kazakhstan State Pedagogical University. This teaching method is aimed at organizing the independent work of students in the study of school mathematics. Examples of the use of the Maple package to solve some problems in a school math course are presented. Taking into account the specifics of the tasks of teaching mathematics at school, the possibilities and advantages of the technology of organizing students' independent work with the help of the Maple package are considered in detail.


10.28945/3898 ◽  
2017 ◽  
Vol 13 ◽  
pp. 229-250 ◽  
Author(s):  
Yaniv Biton ◽  
Sapir Fellus ◽  
Dafna Raviv ◽  
Osnat O Fellus

Aim/Purpose: The increasingly growing number of virtual high schools around the world has engendered new modes for teaching and learning and a promising area of re-search. While research in this emerging field has mostly taken a comparative lens that highlights differences between traditional modes of teaching and online teaching, research on high school students’ and teachers’ perspectives has remained dearth. Background: This study identifies students’ and teachers’ perceptions of their learning and teaching advanced level mathematics and/or physics in the first Israeli virtual high school (VHS), which was launched five years ago. Methodology: A survey of 41 questions was disseminated to the first graduating cohort of 86 Grade-12 students as well as to 22 VHS teachers. Additional data sources include students’ essays on what it means to be a student in a VHS and field notes from a pedagogical development day. Contribution: The purpose of this study is to highlight the workings of the Israeli VHS and in particular its important building blocks that include a teacher-tutor model, an ongoing gauging of students’ work through a Learning Management System (LMS), and a continual teacher-developer interaction for the purpose of developing cutting-edge, technology-based course content. Findings: Given the unique features of the Israeli VHS, both teachers and students report on feelings of unit pride, motivation, and investment in teaching and learning in the VHS. Recommendations for Practitioners: The Israeli VHS uses a combination of a teacher-tutor format, together with tools for gauging students’ work and ongoing interaction between the teachers and the course content designers. Such a context creates new, fertile ground for technology-based, fully online teaching and learning of school mathematics and physics that may contribute to alleviating the problem of decreasing numbers of learners who are interested in taking advanced-level courses. Recommendation for Researchers: Further exploration of aspects for improvement in the teaching model of the VHS, its design, and its support system and for finding out factors that impact attrition lay down important research trajectories that have not yet been trodden. Impact on Society: Issues of equity and the democratization of learning of advanced STEM subjects are now possible to be seriously considered in a principled manner within the context of the VHS. Future Research: Future research may focus on the affordances, possibilities, and limitations of learning within a VHS to ensure a more robust process that will allow more students to learn advanced mathematics and physics.


2020 ◽  
Vol 4 (1) ◽  
pp. 51
Author(s):  
Guijuan Tian

With the increasing enrollment of general higher vocational colleges every year, the inconsistency between the knowledge level and ability of the enrolled students and ideological and political education hinders the realization of the teaching purpose of the school to a great extent. Advanced mathematics is a compulsory basic course for college students and an important subject for realizing the teaching purpose. In order to achieve the teaching purpose and improve the teaching quality and level of mathematics in higher vocational colleges, we must deepen the reform of teaching contents in advanced mathematics courses in colleges, and integrate mathematical knowledge with ideological and political education organically, giving full play to the teaching characteristics of advanced mathematics courses while fulfilling the ideological and political education for students. Moreover, ideological and political education is also combined with interactive advantages by means of interactive teaching. This paper briefly discusses how to integrate advanced mathematics course with ideological and political education. By analyzing the actual teaching cases of ideological and political education and advanced mathematics courses, the content of classroom teaching is discussed.


2018 ◽  
Vol 16 (2) ◽  
pp. 18-36
Author(s):  
Nermin Bayazit ◽  
Pier Angeli Junor Clarke ◽  
Draga Vidakovic

The authors report on three students' argumentative knowledge construction in an asynchronous online graduate level geometry course designed for in-service secondary mathematics (ISM) teachers. Using Weinberger and Fischer's framework, they analyzed the ISM teachers' a) geometry autobiography and b) discussion board posts (both comments and attached work including solutions to assigned problems and Geometric Sketchpad explorations) throughout an 8-week summer course. The goal was to better understand the key similarities and differences in the nature of their interaction with each other and the course content that may have contributed to the differences in their knowledge construction. Findings led researchers to re-conceptualize a rubric to (1) assist instructors in facilitating productive interaction among students, (2) prepare students to better utilize the discussion board with a critical eye, and (3) provide specific guidelines for a more productive engagement among students, using the framework as a guide.


Sign in / Sign up

Export Citation Format

Share Document