Belonging, Fun and Scaffolding in Introductory College Math Course

MTH 112Z at Oregon State University is designed to prepare students for calculus and related disciplines. This course explores trigonometric functions and their applications as well as the language and measurement of angles, triangles, circles, and vectors. These topics are explored symbolically, numerically, and graphically in real-life applications. MTH 112Z is designated as a Common Course Numbering (CCN) in the state of Oregon, ending with “Z” in the course number. When transferring to an Oregon public college or university, “CCN courses will be accepted as if they were taken at the institution students transfer to (that is, the receiving institution)” (State of Oregon, 2023).

An instructor from the math department and Tianhong Shi from Ecampus collaborated in designing a brand-new version of MTH 112 to meet the new Core Ed requirements for Oregon State University and Z course requirement for the state of Oregon. At the beginning of this project, the design team identified major challenges of this course as follows:
1. Content challenges
2. Low motivation for some students to continue studying math at this level after initial frustration in this course.
3. Low interest in participation in class discussions.

The instructor and Tianhong met regularly to discuss the challenges, brainstorm strategies for solutions, and delineate a plan to implement practical solutions for MTH 112Z. The solutions that were implemented in the course include:

1. Creating a safe and inclusive learning environment that students will feel they belong here.
2. Creating short animated stories of how math operates in people’s real life, each video is about or less than 30 seconds long. The purpose of these animations is to build a bridge between math learning and real life and to motivate students to learn the topics of each unit.
3. Helping students to identify the steps in solving a math problem to scaffold learning and build learning success step by step.
4. Creating “Make Learning Fun” discussion topics: Research (Purinton and Burke, 2019; Tews, et.al., 2014) tells us that when students feel emotionally relaxed and happy, learning is more effective. Therefore, one “Make Learning Fun” discussion forum is created for each unit.

Building an Inclusive and Trusting Learning Community where Students Belong
College belonging is defined as “students’ perceived social support on campus, a feeling or sensation of connectedness, the experience of mattering or feeling cared about, accepted, respected, valued by, and important to the group”, according to Strayhorn (2018, p.4). The strategies used to build an inclusive and trusting learning community in MTH 112Z included the following:
1. In Start Here Module, the instructor made a video covering Artificial Intelligence (AI), academic integrity, honesty, and diversity, to explicitly explain the expectations for this course regarding academic integrity and why it is so.
2. Also in Start Here Module, the instructor built a “Name Tents 112Z” discussion board for students to introduce themselves, setting an example by introducing the instructor himself first.
3. There is a Diversity Forum where students can post comments that they would want the instructor to know about themselves to make learning more inclusive.

Making Content Relevant
In addressing the challenging content, the instructor identified concepts that would be better explained through a set of short animated videos, recorded the audio narratives, and the media team helped creating the short animations. For example, at the beginning of unit 4 is an animation about finding the length of a tall tree on campus. And here is the transcript of the video: “The Trees on the O S U campus, are wonderful . how tall are the cedar trees by the memorial union? if you measure the angle from the ground to the top of the tree and know the distance you’re standing away from the tree, you can compute it. Make a triangle and set up an equation to get the height. Which function would you use?” And here is the transcript of unit 5 animation video: “You can get swept away in a river. Oregon has many great rivers for boating. When you were kayaking, you need to account for how much the current will push you off course, this can be done with vector. One vector represents the river’s flow with direction and strength, another vector is the direction which you kayak. The results of these two added together is the direction you end up going. If you want to reach a certain point on the other side, where should you aim?” We can see from these two examples that they are relevant to student lives (trees and kayaking) and relevant to the topics of the units. And these animations tell short stories, hoping to motivate students for learning.

Scaffolding Toward Learning Success
Scaffolded learning activities provide students a supportive learning environment (Dennen, 2004). In each unit’s content discussion forum and homework assignment, students explore problem solving step by step and discuss with each other to help them build confidence and fluency in problem solving. By such a design, the design team hoped students would get the support they needed and would be able to easily identify where they did wrong and how to improve or correct based on the feedback they receive from the online homework system and from the instructor and Teaching Assistants.

Making Learning Fun
Emotional health is important for students’ learning success. Research suggests there is a significant positive relation between fun delivery of content and the forms of engagement (Tews, et al., 2014). Schwartz et al. (2016) also recommend building fun elements in learning for effective teaching and learning. So the design team strived to build elements of fun into the course. The short animations are meant for fun. In addition, each unit has a “Just For Fun” discussion forum to bring students’ attention to learning and promote motivation. Below are examples of these discussions:

Unit 1 Just for Fun: Please read through this survey and describe how you would answer the questions. (The survey was about having students imagine themselves navigating through the forest on foot and trying to find their way to their cabin.)

Unit 2 Just for Fun: What do you think of the animation?

Unit 3: Just for Fun: Please take a picture of something you can model with a sine function as you have been studying in this module. It could be a windmill if you live near a windmill, or an ocean if you live near an ocean. Make sure it is a picture that you have taken and then explain briefly what it is and how you would model its movement.

Unit 4 Just for Fun: Describe a time when you could feel the effect of the wind or water current as you were moving. For example, winters in Oregon are blustery and you can get blown around when you are biking.
Or you can describe a way that you would use vectors in your own life.

Unit 5 Just for Fun: This is it! you’re almost done–
What was a topic in the course that was interesting to you? or what was a topic that didn’t seem to be useful?

That is what we did to make introductory college math fun, inclusive and learnable. If you have ideas for math or STEM course design, feel free to share with us (Tianhong.shi@oregonstate.edu). The more, the better!

References
Dennen, V. P. (2004). Cognitive apprenticeship in educational practice: Research on scaffolding, modeling, mentoring, and coaching as instructional strategies. In D. H. Jonassen (Ed.), Handbook of Research on Educational Communications and Technology (2nd ed.), (p. 815). Mahwah, NJ: Lawrence Erlbaum Associates.

Hogan, K., and Pressley, M. (1997). Scaffolding student learning: Instructional approaches and issues.Cambridge, MA: Brookline Books.

Huck, C and Zhang, J., Efects of the COVID-19 Pandemic on K-12 Education: A Systemic Literature Review. Educational Research and Development Journal. Summer 2021, Vol. 24.

State of Oregon. (2023). The Oregon Transfer Compass. Retrieved at https://www.oregon.gov/highered/about/transfer/pages/transfer-compass.aspx

Purinton, E. and Burke, M. (2019). Student Engagement and Fun: Evidence from the Field. Business Education Innovation Journal, Volume 11 Number 2, P133-P140.

Schwartz, D. L., Tsang, J. M., & Blair, K. P. (2016). The ABCs of how we learn : 26 scientifically proven approaches, how they work, and when to use them (First edition.). W.W. Norton & Company, Inc.

Strayhorn, T. L. (2018). College students’ sense of belonging. Routledge. https://doi-org.oregonstate.idm.oclc.org/10.4324/9781315297293

Tews, M. J., Jackson, K., Ramsay, C., & Michel, J. W. (2014). Fun in the college classroom: Examining its nature and relationship with student engagement. College Teaching, 63(1), 16-26.