Monday, 23 September 2019

The Differences in Approaching 9 Academic and Applied Mathematics


From my various experiences teaching Grade 9 applied, I found an approach that worked and had the highest rate of success amongst my students. The method utilizes a two-pronged modern learning and mental health approach. By applying specific solutions to remove individual obstacles, students develop a more positive outlook as well as increased risk-taking towards mathematics.

The challenges often unique to Grade 9 applied students are one or a combination of the following:
  • ·         a self-imposed mathematics learning limit
  • ·         a fixed mindset
  • ·         math anxiety
  • ·         low metacognitive skills
  • ·         learning skills need improvement

As a result, when exposed to learning new ideas or extremely interesting mathematics facts, the students often result in behaviour that ranges from extremely disruptive to complete withdrawal.  These challenging mindsets and lagging skillsets may undermine even the most engaging mathematics lessons. 

My approach to teaching Grade 9 Applied has been to devote time to breaking down negative mindsets and to increase assessment as learning as part of the evaluation set.  By focusing some attention to how their mindsets affect their learning, students can start to learn more effectively. 
We start every class using the community circle.  We discuss our experiences with learning;  both in and outside of mathematics classroom.  It is important to have students examine their successes in learning, regardless of subject, and to translate these successes to the math classroom.  We draw upon their successes in sports, music, and other learning experiences and connect it to learning mathematics. We watch Jo Boaler videos and learn about applying the growth mindset.  Most importantly, we also talk about anything that is on their mind for that day – and really listen.  Building these relationships of trust as well as removing any obstacles to learning prior to the lesson is imperative to a delivering each lesson successfully. 

By integrating aspects of Building Thinking Classrooms over the past three years, engagement of the Grade 9 applied students has increased.  Working with numerous online resources (desmos.com, 101qs.com, John Orr and Kyle Pearce’s work) has helped students grasp mathematical concepts while also improving their learning skills.  To conclude the learning cycle, we utilize assessment as learning tools such as assessment wrappers, reflective questions and goal setting to help develop the learning and metacognitive skills. 

In addition, spiraling through the Grade 9 applied course can also have dramatic effect in students’ learning.  By spiralling, students will have the opportunity to see concepts repeatedly in intervals to increase retention and confidence.  At the same time, it is vital to match one’s assessment policy with the growth mindset and Growing Success.  Students will not be penalized for “early not knowing” and instead be rewarded for their resilience and grit.  Combining a spiral curriculum with a flexible assessment plan will allow students to focus more on learning and less on grades.  Furthermore, it allows students to feel safe to make mistakes and to spend the time necessary to work on their learning and metacognitive skills; this in turn will will help solidify their mathematical learning and increase self-confidence. 

In addition to weekly quizzes, we have had students demonstrate their learning in the form of interviews, portfolios, assignments, whiteboard work, in-class observations, assessment wrappers, group performance tasks, journaling, and retests to get a broader evaluative understanding of a students’ comprehension of mathematics. By also incorporating Flipgrid videos, creative journaling, or projects – students can express their creativity and personality, which simultaneously makes them feel included in the classroom.   

To summarize, the following approaches to teaching 9 applied were suggested:  
  • ·         community circle
  • ·         Comprehensive Math Program
  • ·         Building Thinking Classrooms
  • ·         spiralling
  • ·         varied assessment