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Curriculum of an Online College Algebra: Why should it interest Mathematicians

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Title: Curriculum of an Online College Algebra: Why should it interest Mathematicians


1
Curriculum of an Online College Algebra Why
should it interest Mathematicians?
  • By
  • Behnaz Rouhani, Ph.D.
  • Georgia Perimeter College

2
Brief Overview
  • Influence of the Online Education in design of
    Mathematics Courses
  • Various aspects of the curriculum that are likely
    to change
  • Aspects of the Curriculum that are not expected
    to change
  • Why mathematicians should be interested in these
    changes

3
Why distance learning?
  • Workers frequent career changes make lifelong
    learning or continuing education necessary.
  • Makes education available to those who are not
    otherwise able to attend school.
  • Solution to meeting educational needs at all
    levels.

4
Technology of the 21st Century Mathematics
Educations
  • Brought a Paradigm shift in attitude towards
    online education.
  • Affected the definition, design, and delivery of
    education.

5
Technology of the 21st Century Mathematics
Educations Cont
  • Focus -- teaching to learning
  • Organization -- rigid class based learning to
    flexible team-based learning
  • Technology -- integrated into learning process
  • Support -- learning tasks of the individual
    students

6
Beliefs of D.E. Course Developers during 1990s.
  • Main goal of math education was to enable
    students to learn basic knowledge skills.
  • Viewed math as a body of facts, definitions and
    theorems.
  • Distance math. Courses should not be concerned
    with reasoning aspect of mathematics.

7
Different types of Mathematical Learning
  • Simple recall
  • Algorithmic learning
  • Conceptual learning
  • Problem solving

8
Conventional view of Mathematics
  • Mastery of fixed set of facts and procedures

9
Revised view ofMathematics
  • Sense making
  • communication
  • Encourage investigations

10
Success of Online Mathematics Education
Initiatives depends on.
  • Identification of ways to encourage teachers.
  • Make significant shifts in their beliefs and
    practices that are tied deeply to school
    mathematics traditions.

11
Who is an Effective Teacher?
  • Individual who in response to student needs uses
    the skills at the right time in the right amount.

12
Curriculum of a Mathematics course
  • Intended Curriculum
  • Implemented Curriculum
  • Attained Curriculum

13
Intended Curriculum
  • What is prescribed in the syllabus

14
Implemented Curriculum
  • What teachers teach
  • How students transform the curriculum as they
    work through the material and how educators view
    this transformation as they work through
    students assignments.

15
Attained Curriculum
  • Outcome of students both in terms of assessment
    results and their readiness for further
    mathematics study.

16
What aspects of the Online Mathematics Course
are different?
17
Style Mode of Delivery
  • Initiate active learning as opposed to passive
    reading.
  • Enable students to relate newly acquired
    knowledge to what is already known.
  • Mathematical description needs to be precise,
    necessary, and complete.
  • Provide opportunity for learners to respond to
    questions within the teaching material.

18
Frequency of Contact Meeting Place
  • No meeting time asynchronous
  • Expect to be in touch 24 / 7 Distribution lists
    and online discussions

19
Technology
  • There should be interaction between the learner
    and technology.
  • Students should
  • spend more time learning lessons
  • less time interacting with the technology.

20
Assessment
  • Formative way to help students form and develop
    student learning.
  • Summative way to sum up what has already been
    learned.

21
Teachers Role
  • Coach
  • Collaborator in the knowledge construction
    process
  • Creator of learning experiences for students

22
  • What aspects of the Online Mathematics Course
    are not expected to change?

23
Course Objectives
  • Components
  • of the intended curriculum
  • that deals with course objectives
  • will not change.

24
Motivation
  • Students learning and memory are closely tied to
    motivation.
  • Students learn what they want to learn and have
    difficulty learning material that does not
    interest them.

25
Why motivation is important in an Online setting?
  • Students will soon tire of multimedia elements
    (graphics, animations, video and user-friendly
    interface).

26
Interaction
  • Educational communication should be
  • Reciprocal (two-way)
  • Consensual (voluntary)
  • Collaborative (shared control)

27
Why is Interaction Important?
  • Without interaction, teaching becomes
  • Passing on content as if it were dogmatic truth.

28
How to make sure that Learners take part in
online interaction?
  • As in face-to-face settings
  • assess online learner's participation
  • In Class.

29
Social Context
  • Students must feel
  • social presence
  • by receiving
  • encouraging gestures
  • praise.

30
Mathematicians presentation of the Online
Curriculum
31
Why should Curriculum of an online College
algebra course interest Mathematicians?
  • Set goals.
  • Select or create mathematical tasks.
  • Stimulate and manage mathematical interaction.
  • Create a classroom environment that supports
    teaching learning of mathematics.
  • Analyze student learning mathematical tasks.

32
Ways to Accomplish..
  • Familiarity with Research on teaching of Online
    mathematics.
  • Awareness of the Beliefs and Knowledge of
    mathematical subject matter.
  • Pedagogical content knowledge.

33
What is pedagogical Content Knowledge?
  • Understanding of
  • what makes the learning of specific topics easy
    or difficult the conception and preconceptions
    that students of different ages and backgrounds
    bring with them.
  • (Research on how to teach a topic)

34
What does Research say?
  • Clements Study of students Symbolic
    representation
  • Normans Study of Teachers Graphical
    representation

35
Teachers need to have an appreciation on how
students understanding develops so they can put
together mathematical activities that help
specific students learning.
36
Case of Mr. Allen
  • What do we learn from it?

37
Teachers knowledge of new curriculum, or
research can extend teachers knowledge to
include more conceptual and relational
understanding.
38
  • Implementation of innovative materials provide
    powerful tools for teachers to
  • learn about
  • Themselves
  • Their students
  • Mathematics
  • Teaching learning mathematics
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