Monday, February 10, 2020

Syllabus_ICT in Mathematics Education

ICT in Mathematics Education

Course Title: ICT in Mathematics Education                   Nature of the Course: Practical
Semester: Fourth                                                                  Credit hours: 3         
Course No.: Math Ed 547                                                    Teaching hours: 80
                                                                                   

1.      Course Description

This course is designed to provide wider knowledge and skills for the use of Information and Communication Technology (ICT) in mathematics education. It comprises a range of skills varies from basic literacy to handling mathematical software, explicitly Latex, GeoGebra and Mathematics while teaching various courses of mathematics at tertiary and graduate levels. The course is divided into five major units. It starts with basic digital literacy and then introduces cloud storage applications (apps). Then the course introduces theoretical and practical understanding of latex interface. Finally the course focuses to develop skills on software integrated teaching modules to edify mathematical concepts using GeoGebra and Mathematica.

2.      The General Objectives

The general objectives of the course are as follows:
·         To apply and work with basic digital literacy skills.
·         To utilize web technology as communication tools
·         To produce mathematical text in Latex environment
·         To prepare instructional methods using GeoGebra tools
·         To demonstrate instructional methods using Mathematica tools

3.      Specific Objectives and Contents

Specific Objectives
Contents
·      Apply features of word processing to design a term paper, proposal and thesis report
·      Apply and use basic statistical function in spreadsheet
·      Prepare and present power-point applying different animation schemes
Unit I: Digital Literacy (10)
1.1.  Word processing
1.1.1Text Formatting, sections and page breaks
1.1.2Level of headings, captions, TOC and references
1.1.3Track and comment
1.2.      Spreadsheet
1.2.1Application and work with Home, Insert and Formula tab in MS excel
1.2.2Basic in Statistics and charts
1.3.  Presentation
1.3.1Working with text, image, audio and video files
1.3.2Adding animations and hyperlink
·      To use text and media related tools to design text, graphics, and media related files
·      To store digital files in web applications and to share through blog
Unit II: Web Technology (10)
2.1.  Email and Blog
2.2.  Cloud storages tools (Drive…)
2.3.  Web communication tools (YouTube, Skype..)
2.4.  Multimedia tools for podcasting and vod casting
·         To use latex to prepare term paper, proposal and thesis report
·         To use latex for mathematics related documents
Unit III: Latex interface (10)
3.1.Document structure
3.2.Packages
3.3.Math text
3.4.Adding pictures
3.5.Table of contents
3.6.Bibliography

·      To use GeoGebra to develop Geometry, Algebra, Spreadsheet, CAS and Probability related work
·      To develop GeoGebra based teaching models for school related 3D figures
Unit IV: GeoGebra (10)
4.1.            Basics of 2D plots
   4.1.1Point, line, equation, function, inequalities
   4.1.2Polygon, Circle
4.2 Basics of 3D plots
4.2.1 Prism
4.2.2 Pyramid
4.2.3 Cone
4.2.4 Cube
·      To use High level numerical language to develop mathematics specific teaching resources for various concepts of school and undergraduate mathematics
Unit V: Mathematica/Mapple/MatLab  (40)
5.1 2D and 3D Graphics
5.2 Algebra and Trigonometry
5.3 Geometry
5.4 Calculus (Differential and Integral)
5.5 Probability and Statistics
5.6 Logic, Graphs and Network
5.7 Numerical Methods
Note: The figures in the parentheses indicate approximate teaching hours allocated for respective units.

4.      Instructional Techniques

The instructor will select the method or methods of instruction most suitable for a particular topic. It is quite acceptable to select more than one method and combine them into a single period of instruction whenever it is needed. The general and specific instructional techniques are described below.

  4.1 General Instructional Techniques

 The following general method of instruction will be adopted:
·         Lecture
·         Demonstration
·         Discussion
·         Group Work
·

  4.2Specific Instructional Techniques


Unit
Activities and Instructional Techniques
TH (80)
Examples
I
·         Multimedia presentation
·         Project work
10
Prepare files*
II
·         Multimedia presentation
·         Project Work
10
Prepare files*
III
·         Project work and presentation
10
Prepare files*
IV
·         Multimedia presentation
·         Project work
·         Group Discussion
10
Prepare files*
V
·         Multimedia presentation
·         Project work
·         Group Discussion
40
Prepare files*
NB: The instructional techniques are practical base and will be done in ICT lab.

4            Evaluation

   5.1Internal Evaluation (Practical)           (40%)

Internal evaluation will be conducted by course teacher based on the following activities:
·         Attendance                                                                             5marks
·         Participation in learning activities                                          5marks
·         First assignment/Mid-term exam                                            10 marks
·         Second assignment/assignment ( 1 or 2)                                10 marks
·         Third assignment/assignment ( 1 or 2)                                   10 marks
__________________________________________________________________
Total                                                                                       40 marks

   5.2External Evaluation (Practical: 60%)

Examination Division, Office of the Dean, Faculty of Education will appoint an external to conduct final practical examination at the end of the semester as follows.
·          Objective questions (multiple choice)   (10 ´ 1 )                  10 marks
·          Short answer question 6 with 2 OR questions  (6  ´ 5 )        30 marks
·         Long answer questions 2 with 1 OR question (2 ´ 10 )         20 marks

Total                                                                                       60 marks

5            Recommended Books and References

  6.1 Recommended Books
Cliff Hastings_ Kelvin Mischo_ Michael Morrison - Hands-On Start To Wolfram Mathematica-Wolfram Media (2015) (Unit V)
Jonas Hall, Thomas Lingefjard - Mathematical Modeling_ Applications with GeoGebra-Wiley (2016)(Unit V)
Krishnan & Krishna (2003); LaTex Tutorials, Indian TEX Users Group, Floor III, SJP Buildings, Cotton Hills, Trivandrum 695014, India (Unit III)
6.2 References
Heikki Ruskeepaa - Mathematica Navigator_ Mathematics, Statistics and Graphics, Third Edition-Academic Press (2009) (1)(Unit V)
Intelligent Routines: Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Mapleby George A. AnastassiouIuliana F. Iatan, 2013(Unit V)
Stan Wagon (auth.), Stan Wagon (eds.) - Mathematica in Action_ Problem Solving Through Visualization and Computation-Springer-Verlag New York (2010)(Unit V)

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