MATHEMATICS EDUCATION FORUM

December 22, 2024

Mathematics Education Online Case

From Large Mathematics Education Lectures to Online Modules and Discussion
The Development of a Partially-Online Elementary Mathematics Teacher Education Program at the University of Western Ontario

Presented by: George Gadanidis, Faculty of Education, University of Western Ontario

Links

Faculty of Education, University of Western Ontario

Description of Online Course Structure

Samples of Online Mathematics Education Module

Link to the Mathematics Education e-Textbook

Context

Prior to 2001-2002, the approximately 450 elementary preservice mathematics teachers at our Faculty of Education received 18 hours of small group instruction (25-30 students per class) and nine hours of large group lectures (over 200 students per lecture). In 2001-2002, in an effort to improve preservice teacher learning, we replaced the nine large group lectures with nine online content modules and online discussion conferences (this was also done in the language arts area). The goal was to move from the simple transmission of information through face-to-face lectures toward online interaction that uses online modules to offer content, links to Web-based resources and video, Web-based interactive activities, and online discussion conferences.

This new direction for our preservice teacher education program builds on existing expertise in our Faculty of Education, and its capacity to offer online courses through its continuing teacher education program. In the last four years, the online component of the continuing teacher education program has grown from two to over one hundred fully online courses. Such courses contain online content and discussion areas and tools that have been developed locally at the Faculty of Education. For example, the discussion area we are currently using has been developed by our technology staff in consultation with key instructors, and replaces the commercially available discussion board used previously. This provided the opportunity to design a discussion area that better meets the varied pedagogical needs of instructors. It also had the advantage of being four times faster than the discussion board we were using previously, allowing for faster online interaction and much less demand on expensive Web server resources. The online program offerings also include a process to facilitate the effective management of students and course discussion areas, and a set of locally developed course management tools that enable efficient registration, records administration, and student evaluation.

Implementation Challenges and Opportunities

In the proposal stage of the project, some faculty raised concerns about student access. How do we know that the over 400 students affected will have access to the Internet? If they all depend on our computer labs for access, won't this make access impractical? Administrative concerns were also raised about notification of the program change to students. Application forms were processed and acceptance letters were sent out to students prior to the proposal for this project. Should prospective students have been told ahead of time that part of their program was online?
Support for the initiative came from most of the mathematics and language arts instructors, who felt that the lecture format did not provide optimal effectiveness. The shift from large group lectures to online content and discussion tried to better align the teaching methods with the pedagogical content. Also, with increasing enrollment over the last three years, physical space in the Faculty of Education building is at a premium. Coincidentally, a recent external review of the Faculty of Education recommended incorporating online technology into the preservice program, in light of its successful development and use in the continuing teacher education program.
The online initiative proceeded in the 2001-2002 year as a pilot project.

The 2001-2002 Experience

Although we had confidence in the quality of our online continuing teacher education program, we were not sure how preservice teachers would react to the online language arts and mathematics components. The students in our continuing teacher education program choose the online format (as our program also runs parallel face-to-face courses), whereas our preservice students would not be given a choice. Also, continuing teacher education courses are taken by teachers in the field, scattered across Ontario and beyond (we have many Canadian teachers working abroad that take our courses), making the online program an attractive option. In contrast, our preservice teachers are already in our Faculty of Education building.

Interestingly, the anticipated problem with access did not appear to be an issue for students in their online participation in 2001-2002. When students were asked at the general orientation presentation in September 2001 whether they had regular access to the Internet outside of the Faculty of Education, over 90% indicated with a show of hands that they did. Only approximately 50% of the students had answered positively when a similar question was asked at the general orientation presentation in September 2000. Also, it seemed that students were able to access and participate in the online component with ease and with little resistance to this mode of program delivery. Instructors reported few problems and questions from students.

Instructors noted a number of benefits of the online component. For example, workshop instructors indicated that, compared to the large lecture format of previous years, they noticed a significant improvement in terms of preservice teachers' completion of readings prior to attending the workshops. It seemed that the online modules, each of which preceded the respective face-to-face workshops, offered preservice teachers the incentive to do the required readings (which included text readings as well as readings and activities in online content modules) and the opportunity to discuss related issues in the online discussion area. Each of the online modules contained an introduction section which listed expectations and raised key questions, a content section that included various activities and questions to guide student thinking, and an organizer section which listed the reading and online discussion requirements. We suspect that accountability was also an issue, as online discussion was assessed whereas large group lecture attendance was not assessed.

Overall, we were surprised by how smoothly the online component appeared to function and how few technical problems students experienced when working online.

Looking Ahead: Further Improvements and Pending Issues

For the 2002-2003 academic year, we revised the course outlines so that there are more explicit links between the online and face-to-face components. For example, in one of the assignments, students work in small groups and take turns facilitating online discussion; they also take turns relating a summary in subsequent face-to-face sessions for further discussion. In addition, the print textbook used in the mathematics course in 2001-2002 was replaced by an online textbook which contains online text, graphics and interactive explorations of mathematical concepts.

As the online component is entering its second year of implementation, and as it is seen by faculty as potentially a permanent aspect of our teacher education program, it is coming under greater scrutiny. A number of issues remain outstanding. (1) What are the implications for faculty who are not comfortable teaching online? Although all mathematics education faculty appear to be in agreement that the online modules are an improvement on the large lectures they replaced, some faculty are not comfortable teaching online. (2) Is it really possible to demonstrate knowledge and ability in a "hands-on" skill online? Although the same question may be asked of the large lecture format, this remains a nagging question for some faculty. (3) What is the effect of workload-shouldn't the online component be given greater teaching credit than a large group lecture? This issue was dealt through an adhoc committee which recommended that teaching credit be increased for the online component.

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