Using Desmos to Support Visualizing and Interpreting Mean
Introduction
Over the past year as we quickly changed teaching formats, we learned to be flexible with lesson planning and delivery. We plan to build on and integrate our new knowledge and tools to improve our future teaching. To illustrate, in this paper we have chosen one tool and one topic: Desmos ActivityBuilder and a central tendency measure, mean.
Since going back to teaching in-person, we have used Desmos ActivityBuilder to support out-of-class tasks and reflections, and in-class discussions. Before class, students interact with manipulatives and then write out their noticings and wonderings in response to the task. Desmos ActivityBuilder saves its solutions and reflections automatically. In class, their strategies and explanations can be easily shared to support the group and whole class discussion of concepts.
In this paper, we share how we transformed in-person interactive mean tasks to be online, interactive, and supportive of productive mathematical discussions. We use Desmos to focus on the conceptual meanings of mean, to enact a set of related tasks from Beckmann (2018).
A Brief Review
The American Statistical Association (ASA) and the National Council of Teachers of Mathematics (NCTM) advocate for high-quality statistics education for in-service and pre-service teachers (PSTs) to develop statistical reasoning skills in K-12 students (ASA & NCTM, 2013). Other organizations echo the recommendations for K-12 teachers’ statistical understanding (e.g., Association of Mathematics Teacher Educators, 2017; Conference Board of Mathematical Sciences, 2012).
The Guidelines for Assessment and Instruction in Statistics Education (GAISE, 2016) report described levels of conceptual understanding needed to develop a robust understanding of the mean (Franklin et al., 2007). The arithmetic mean is calculated by dividing the sum of all data values by the number of values in the data set. Franklin et al. posited students must first understand finding mean as fair sharing and then as a balance of weights, to move toward understanding it as a point where positive and negative deviations sum to zero.
To understand the meaning of fair sharing (or redistribution or a leveling out) of values in a data set, students combine and then redistribute values of all elements so each is equal. PSTs
experiment by leveling or redistributing physical or visual block towers (Beckmann, 2018). To build on this understanding, the focus shifts to viewing the mean as the balance point of values viewed as weights along a rod. After physically or visually finding the balance point, students begin calculating and summing deviations (distance between data point and mean). When a data point is greater than or less than the mean, the distance is called positive or negative deviation, respectively. The mean (balance point) is the value where the sums of positive and negative deviations are equal. GAISE argued that moving students from viewing the arithmetic mean as fair sharing to balancing the more abstract deviations supports students in later understanding of center and variation.
In-Person Leveling Out and Balance of Weights Tasks: Advantages and Disadvantages
Beckmann's (2018)’s leveling out and balance of weights tasks were adapted and implemented in Desmos during the pandemic to support learning at a distance. The logistics of the leveling out tasks are relatively straightforward in class: passing out physical blocks, students build and change configurations, and final solutions are easily shared using a document camera. The balancing tasks with physical scales are more challenging, however, because teachers may not have enough balances to distribute among the groups of students. Teaching preservice teachers to use a balance may be a useful task, but it is time-consuming when it is not the focus of the lesson. Additionally, showing student work and process is more difficult when using the physical balances in the classroom.
Desmos Overview
In 2011, an undergraduate Yale student Eli Luberoff released Desmos as a free online graphing calculator. Desmos has evolved over the years, developing a teaching activity tool separate from the geometry and graphing calculator tool. Desmos ActivityBuilder offers a collection of professionally developed mathematics tasks and allows teachers to copy and edit activities as well as create new activities (Desmos, 2020c; Seaton, 2020). Developed tasks allow students to input long answers (text input or mathematical notation), input choices (multiple choice, checkboxes, or ordering), explore (manipulate or create tables, graphs, and sketches), and analyze (card sort tasks using mathematical notation, text, images, graphs).
Leveling Out and Balance of Weights Tasks on Desmos
Desmos Task: Leveling Out
We revised Beckmann's (2018) leveling out task by creating a draggable task (Maher & Nguyen, 2021). Students drag and drop cubes in four different colors to build towers of heights 2, 5, 4, and 1. They then redistribute the cubes to have four towels of equal heights. Figure 1 displays a sample of student work, where their names are anonymized by real mathematicians’ names.
Figure 1
Student Sample Work on Leveling Out Desmos Task
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)
While most students correctly leveled out the towers as shown in Benjamin and Christine’s work, some misconceptions arose. A few students made three even towers instead of four (John Sims’s work), which changed the number of groups from four to three. In this case, the student may not have understood that the height of towers may change but not the number of towers. Other students created four towers with the same number of cubes (Audrey Tang’s work). This means that either they did not begin with towers of different heights, and hence did not go through the process of “leveling out,” or their process of leveling out meant removing/adding blocks from the task rather than shifting them to another tower.
Desmos Task: Balance of Weights
We adapted Desmos’s Make It Balance task (Desmos, n.d.). First, students experiment by moving the triangle (balancing point) to balance two bears at fixed positions. The beam is shown with round support under both ends (i.e., Figure 2a). They click the “Check My Work” button to see the consequences of the triangle’s position; i.e., the supports on both sides are removed. If the balancing point is not centered, the beam sinks under the weight of the furthest bear (e.g., Figure 2b). The beam stays stable if the triangle is centered. In Figure 2, the left picture is the initial student screen, and the right picture shows a sample of student work. Notice that there can be only one position that results in a balanced beam for this activity–the midpoint between the two bears (i.e., Figure 2c).
Figure 2
![](data:image/png;base64,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)
Placing the Triangle to Balance Two Bears
Second, a beam and a fixed balance point are given, and students try to balance the beam by positioning the two bears. As before, they can use the “Check My Work” button to see the consequences of their work. We showed students various answers from their peers and facilitated a discussion about which one was correct. They concluded that in this activity there can be multiple ways to balance the bears. Figure 3 shows the student's initial screen (Gladys West, leftmost picture) and different ways of placing the bears in balance. It is interesting to note that no student placed the bears at 4 and 6.
Figure 3
Placing two bears to Make Them Balance
Third, students were given three bears on a beam and asked to explain a strategy they used to balance the bears (see Figure 4). They may draw to show their thinking but the activity is no longer interactive, which requires them to think more abstractly. Many students recognized that “I would have the triangle closer to the two bears to even out the weight as much as possible.” But they struggled to formally form a strategy to say exactly where the triangle needed to be moved in order for the bears to balance. One student came close by stating, “I balanced the bears by seeing what would be the equal distance between the single bear on the left to the two bears on the right.”
Figure 4
Balancing Three Bears
![](data:image/png;base64,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)
Third, students were given three bears on a beam and asked to explain a strategy they used to balance the bears (see Figure 4). They may draw to show their thinking but the activity is no longer interactive, which requires them to think more abstractly. Many students recognized that “I would have the triangle closer to the two bears to even out the weight as much as possible.” But they struggled to formally form a strategy to say exactly where the triangle needed to be moved in order for the bears to balance. One student came close by stating, “I balanced the bears by seeing what would be the equal distance between the single bear on the left to the two bears on the right.”
Figure 4
Balancing Three Bears
![](data:image/png;base64,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)
After discussing this Balancing Three Bears task, we showed students the following sketch (Figure 5) and asked them to notice or wonder about how someone might use this sketch to support their explanation of the task. Many students then noticed that adding “adding the distance of the two bears together equals the distance to the one bear on the left.” We then moved from informal mathematics language to formal responses such as the triangle/fulcrum being the mean and “distance from the triangle/fulcrum” being the deviation from the mean.
Figure 5
Notice and Wonder of A Sketch
Finally, to check students’ understanding of the mean as balancing weights, we gave students a sketch and asked them to decide, with reasoning, which set of bears are balanced. Figure 6 displays the student's initial screen on the left and a sample of student work on the right. While most students selected orange (the correct answer) and generally shared valid reasoning, fewer gave detailed responses. For example, many stated that the orange bears are balanced because “It is the same number of spaces on both sides.” A few students included more mathematical thinking in their responses, stating that the orange bears are balanced because “the added sum for the distance away from the fulcrum is same for both sides.”
Figure 6
Determine Which Set of Bears is Balanced
![](data:image/png;base64,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)
Lessons Learned
We plan to continue using these tasks in Desmos post-pandemic because we can notice our students’ thinking processes, work, and conceptions on the Desmos dashboard. The instant access to students’ work means we can discuss different strategies and conceptions with the whole class and revise tasks for future classes.
The misconceptions found in the Leveling Out task (John Sims’ and Audrey Tang’s work in Figure 1) might be due to misunderstanding the instructions of the task. To help with this, we may demonstrate how to build four towers of the required heights on Desmos first and emphasize leveling out the heights of these given towers, rather than creating new towers. For the Balance Weights task, students seemed to have more challenges balancing three bears. So we plan to give students more time to explore this activity and build formal mathematical language in their reasoning.
References
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Association of Mathematics Teacher Educators [AMTE]. (2016). AMTE’s mission and goals. Retrieved from http://amte.net/about/mission
Association of Mathematics Teacher Educators. (2017). Standards for Preparing Teachers of Mathematics, Raleigh, NC: Author.
Beckmann, S. (2018). Mathematics for elementary school teachers (5th ed). Boston, MA: Pearson/Addison-Wesley.
Conference Board of the Mathematical Sciences. (2012). The mathematical education of teachers II. Providence, RI and Washington, DC: Authors.
Desmos. (2020). What we do. https://www.desmos.com/about
Desmos. (n.d.). Make It Balance. Middle School Statistics. https://teacher.desmos.com/activitybuilder/custom/59de912a3f06a210c73513fa?collections=featured-collections%2C5da8a6474d5c010a4455b470
GAISE College Report ASA Revision Committee. (2016). Guidelines for Assessment and Instruction in Statistics Education College Report 2016. Retrieved from http://www.amstat.org/education/gaise
Franklin, C., Kader, G., Mewborn, D., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2007). Guidelines for assessment and instruction in statistics education (GAISE) report. Alexandria, VA: American Statistical Association.
Maher, E.M., & Nguyen, H. (2021). Building Proof Bridges Interactively with Desmos. Reflections. Georgia Council of Teachers of Mathematics, 14(3).
Seaton, J. (2020). Eli Luberoff – CEO and Founder of Desmos. The University of British Columbia, Vancouver Campus. https://virtual.educ.ubc.ca/wp/etec522/2020/02/01/eli-luberoff-ceo-and-founder-of-desmos/
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