Teaching & Learning Strategies

To make new learning more accessible to students, The Educators Academy's teachers draw upon the knowledge and skills students have acquired in previous years – in other words, they help to activate prior mathematical knowledge. It is important to assess where students are in their mathematical growth and to bring them forward in their learning. The aim of this course is to help students use the language of mathematics skillfully, confidently and flexibly, a wide variety of instructional strategies are used to provide learning opportunities to accommodate a variety of learning styles, interests and ability levels.

For mathematical processes, some teaching and learning strategies used are:

  •   Communicating:
    To improve student success there will be several opportunities for students to share their understanding both in oral as well as written form.
  •   Problem solving:
    Scaffolding of knowledge, detecting patterns, making and justifying conjectures, guiding students as they apply their chosen strategy, directing students to use multiple strategies to solve the same problem, when appropriate, recognizing, encouraging, and applauding perseverance, discussing the relative merits of different strategies for specific types of problems.
  •   Reasoning and proving:
    Asking questions that get students to hypothesize, providing students with one or more numerical examples that parallel these with the generalization and describing their thinking in more detail.
  •   Reflecting:
    Modeling the reflective process, asking students how they know.
  •   Selecting Tools and Computational Strategies: Modeling the use of tools and having students use technology to help solve problems.
  •   Connecting:
    Activating prior knowledge when introducing a new concept in order to make a smooth connection between previous learning and new concepts, and introducing skills in context to make connections between particular manipulations and problems that require them.
  •   Representing:
    Modeling various ways to demonstrate understanding, posing questions that require students to use different representations as they are working at each level of conceptual development - concrete, visual or symbolic, allowing individual students the time they need to solidify their understanding at each conceptual stage.
  •   Group Work:
    Working cooperatively in groups reduces isolation and provides students with opportunities to share ideas and communicate their thinking in a supportive environment as they work together towards a common goal.