Handling a Difficult Classroom Situation

Difficult situation: During my short practicum in a secondary school in Vancouver, I have noticed several students unwilling to participate in classroom activities. I was observing Calculus 12 classes taught by an experienced mathematics teacher. The textbook used for this course was published in 1989 and the assigned readings and homework exercises were from this textbook. It looked like the teacher was in total control of the way in which topics were discussed and the classroom discourse appeared to be orderly. Often times, the students who were reluctant to engage came into the classroom later than others and sat in the back of the class or near the door. These students were the last ones to walk in and the first ones to walk out of the classroom. They remained silent and seemed to be busy, whether productive or not, throughout the class and rarely interacted with their classmates or the teacher. In addition, these students were either fiddling around with their phones (texting and playing games) or watching Youtube video clips (muted) for the most part. It was not clear whether they have read the assigned readings or completed their homework exercises. What was clear was that these students never seemed to answer questions, offer opinions, or participate in group work, activities, or discussions.

Students’ reluctance to participate in classroom discourse can be addressed by knowing and accepting that students are learners. It was difficult for me to exactly know what led these students to behave the way they did in the Calculus 12 classroom. Imagining myself as a learner in these students’ shoes, I think that I have a better understanding of how learning environments play a major role in promoting students’ learning and wellbeing in the classrooms.

First, my approach to addressing or preventing this difficult situation would be finding ways to create and maintain an environment that is safe for every learner. I would have to think through various possibilities while diagnosing the problem. If classroom participation is an ongoing issue, I might start by having private conversations with these students to zero-in on what prompts them to behave the way they do. This conversation could expose whether the content is too repetitive, way beyond students’ current capacity to understand, loaded with too much new information, or unrelated to students’ interests. Perhaps, these conversations may or may not lead to improved attitude towards classroom participation. I think that one way to encourage students to participate in classroom activities would be to make classroom participation mandatory, one way or another, without further alienating these students.

Second, I would need to know whether students are ready for learning new concepts. This can be done in several ways. For instance, exit slips, reviews, and previews could be helpful to adjust future lesson plans. Beginning of lessons can also be devoted to reviewing homework or readings in pairs or small groups. Periodic pop quizzes, low-stakes exercises, or jigsaws at the beginning of the class, followed by full class discussions could provide opportunities for students to interact with each other or their friends to increase comfort and familiarity.

Third, I would attempt to identify alternative access points to the curriculum in order to increase engagement and success. This can be carried out through exercises, problems, or tasks that have low floor but high ceiling. In terms of mathematics, low floor high ceiling problems are types of problems that are easy to understand and visualize, but hard solving the problems. These types of problems are accessible to a wide range of ability levels and allow all learners to experience mathematical success. Content can also be presented with multiple representations. For example, the roots of quadratic equations can be found through algebraic, graphical, or tabular representations.

Last, I would have to develop and demonstrate the capacity to be aware of, control, and express my emotions, and to handle interpersonal relationships carefully and sensitively. This would mean taking personal responsibility to demonstrate the habits of a life long learner and keeping up with new insights from educational research.

In other words, I believe that knowing and understanding students as learners is a key to prevent or mitigate problematic situations in the first place.

Creating and Maintaining Positive Environments

One of the ways in which I would like to create and maintain a positive classroom environment is through designing and implementing mathematical experiences that stimulate students’ interests and intellect. I believe that digital tools, especially GeoGebra, can be exploited to pursue interactive classroom activities and engaging mathematical investigations. For instance, instead of starting a unit on differentiation with a sheet of formula that may appeal to only fervent students, I would begin by using suitable GeoGebra applets to challenge students to extend their knowledge through visualization of what a derivative at a point or derivative of a function means. Visualization of mathematical concepts and ideas is an intermediate process. It is a process in which students use their prior knowledge and experiences (slope, secant line, limits, continuity, etc.) to actively form their own representation of knowledge. These applets will act as in-class demonstrations and/or student explorations to motivate new situations or content.

I like presenting new content through GeoGebra applets, partly because teaching and learning becomes more active, curious, and imaginative. When presenting new concepts and ideas through interactive tools, I find that students get more involved in the process, which is a big first step in creating a positive learning environment. Instead of the teacher constantly posing questions, students take ownership of their learning and start posing questions to the teacher and to each other. When students start asking questions, take ownership of their learning, and connect classroom to real world applications of mathematics, that’s when the role of the teacher in the classrooms changes from an expert to a facilitator of knowledge creation and generation. As a facilitator, I believe that a teacher would float around the classroom to observe students’ interactions and conversations for gaining a better of sense of where students are, in terms of their understanding of the content. These formal or informal observations will offer important insights for designing future classroom experiences.

I believe that a caring and safe learning environment will influence the mathematics that is taught and experienced by the students. Experiencing mathematical problem-solving through inquiry-based projects will enable students to be the most active mathematical participants in the classrooms, instead of being spectators. For example, in an inquiry project related to an optimization problem centered around designing natural gas pipelines between three cities in BC, finding reasonable solutions would require thinking differently, unconventionally, and from new perspectives. Solutions to real world mathematical problems are considered to be reasonable when a solution is a good approximation or estimate to the original problem. Students would be expected to work in small groups and think of themselves as a team of engineers or professionals to design and determine backup pipeline routes to existing pipeline. In such a project, students will carry out independent research and utilize previously learnt geometrical concepts and ideas, such as reflecting a point across a line, properties of isosceles triangles, constructing triangle centers (incenter, centroid, orthocenter), and solving mini-problems involving angles and triangles (acute, right, obtuse). The intention of this project is for students to be able to incorporate relevant mathematical details and socio-economic issues when determining their pipeline routes. And so solving this problem would involve considering First Nations communities and interests, infrastructure needs, overarching regulations, emergency and disaster responses, climate, etc. The expectation of the inquiry project is that this project will provide students with the confidence and competence to actively investigate problems and find solutions. This project is designed to develop skills necessary to critically analyze information, make logical guesses, and apply problem solving strategies to solve increasingly complex problems. Students will carry out research by considering environmental issues, safety of nearby communities, and economic necessities from multiple perspectives to build a convincing argument on pipelines construction. When students are proposing an optimal design (reasonable solution) for their backup pipeline routes, it is expected that they have used mathematical reasoning and thinking to go from concrete context to abstract concepts.

Issues with Classroom Management

In general, classroom management can be thought of as a varied set of skills or techniques used by teachers to maintain an orderly classroom and deliver instruction with minimal interruptions. Traditionally, these techniques were employed by teachers in order to create and maintain a set of expectations in the classrooms for preventing behavioral issues, maintaining consistency, teaching effectively, and maximizing class times (Concepts, 2013). Behaviorist theories of learning and motivation from the 1960s and 1970s played a prominent role in justifying these techniques to be used in the classrooms (Earl & Katz, 2009). In the past, still widely believed by many, it was thought that the best way of learning was through transmission of sequenced and hierarchical knowledge from teachers to students (Concepts, 2013). However, as societal needs and expectations for schooling the young have evolved, traditional methods of teaching and learning have been challenged by new insights on learning and understanding (Earl & Katz, 2009).

Current pedagogical trends indicate that learning is a process in which individuals construct new knowledge by connecting their lived experiences and prior knowledge to make sense of new situations (Freiberg, 1996). When viewed through the lens of cognitive science, as opposed to behaviorist perspective, teachers’ role as managers shifts to that of facilitators in the classrooms (Freiberg, 1996). And the change of teachers’ roles, from managers to simultaneously being learners and facilitators, is a paradigm shift when it comes to pedagogical practices (Jhangiani, 2018). Rather than focusing on learners’ perceived deficits, I think that this shift calls on teachers to focus on promoting a safe and inclusive classroom learning environment.

An environment where teachers would focus on valuing and meeting learners’ varied abilities, motivations, learning styles and desires rather than merely covering the curricular content. We ought to recognize and value today’s culturally and academically diverse learners are not in a subordinate position in the classrooms. To the contrary, these learners are often times equipped with tools and devices that allow instant access to sophisticated knowledge. Easy access to knowledge empowers them to be in a superior position in the classrooms. This is one of the reasons why I think that traditional classroom management practices are insufficient to address the underlying issues of today’s learners.

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