Rigour and Vocabulary

Why is it important to show students the benefits of paying rigorous attention to details and using vocabulary correctly?

Here is a series of three consecutive problems that Anna addressed with a small group of students in her Year 9 classroom. Notice how Anna¬†explores her students’ ideas to help them better understand the vocabulary they struggling to understand.¬† Anna addresses their questions about gathering like terms, understanding when the negative sign means “negative” or “subtraction”, and explores what exponent notation means in a particular problem.

  • Anna: Small Group Teaching Part 1 Notation, Gathering Like Terms
  • Anna: Small Group Teaching Part 2 Notation, Negative or Subtraction?
  • Anna: Small Group Teaching Part 3 Notation, Confusion about Exponents

What are some effective ways to show students how to use rigour and correct vocabulary?

Our suggestions:

  • Algebra Programme Overview: We redesigned our Year 9 and 10 mathematics programmes to meet the needs of our students (contributor: Anna Cox)
  • Bee in Her Bonnet: Shows the student challenge of learning about notation and the benefits of showing how algebra is everywhere by using rigour and correct use of vocabulary (contributor: Anna Cox)
  • Fractions and Algebra: Develops prerequisite knowledge by emphasising rigour and correct use of vocabulary and showing how algebra is everywhere (contributor: Rachel Jones)
  • Grid Algebra: Develops algebraic notation by emphasising rigour and vocabulary (contributor: Chris Linsell)
  • Introducing Vocabulary: Develops algebraic notation and a toolbox of skills by emphasising rigour and vocabulary (contributor: Rachel Jones)
  • Linear Graphing: Develops an understanding of relationships by showing how algebra is everywhere and using rigour and correct use of vocabulary (contributor: Anna Cox)
  • Quadratics: Develops algebraic notation and prerequisite knowledge by emphasising rigour and correct use of vocabulary and building a toolbox of knowledge and skills (contributor: Anna Cox)
  • Solving Equations: Develops an understanding of notation and unknowns by emphasising rigour and correct use of vocabulary (contributor: Rachel Jones)
  • Students Solving Equations: Shows the challenge of understanding algebraic notation and using prerequisite knowledge and the importance of using rigour and correct use of vocabulary building a toolbox of knowledge and skills (contributor: Anna Cox)
  • Substitution: Develops prerequisite knowledge by emphasising rigour and correct use of vocabulary and through context (contributor: Rachel Jones)
  • Trigonometry Everywhere: Develops understanding of relationships by emphasising rigour and correct use of vocabulary, building a toolbox of knowledge and skills, and showing how algebra is everywhere (contributor: Rachel Jones)
  • Trigonometry Tool: Develops algebraic notation and prerequisite knowledge by emphasising rigour and correct use of vocabulary and building a toolbox of knowledge and skills (contributor: Anna Cox)
 
 
 

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