The reSolve Protocol


reSolve: Mathematics by Inquiry promotes structured and purposeful investigations of mathematical and realistic contexts. The reSolve: Mathematics by Inquiry Protocol provides a set of principles that underpins the Professional and Teaching resources in reSolve. The Protocol describes excellence in mathematics teaching and learning generally.

The Protocol can be downloaded here.

reSolve mathematics is purposeful

  • Presenting mathematics as a way of modelling the real world and as an abstract discipline.
  • Focusing on substantial mathematical ideas.
  • Supporting a rich interpretation and enactment of the content and proficiencies of the Australian Curriculum: Mathematics.
  • Acknowledging mathematics as a creative and imaginative endeavour, continually changing and developing in a technological society.
  • Connecting mathematics through deep linkages to other mathematical ideas and to other areas of the curriculum.

reSolve tasks are inclusive and challenging

  • Activating existing knowledge, developing new knowledge and exploring relationships between key ideas by working on meaningful tasks.
  • Engaging students in sustained inquiry, problem solving, decision making and communication.
  • Providing opportunity for all students irrespective of background and experience.
  • Structuring tasks and using technologies to optimise students’ mathematical development.
  • Using evidence of students’ progress to inform feedback and subsequent teaching action.
  • Providing prompts and activities meeting a range of student capabilities, from those needing assistance to those ready for further challenge.

reSolve classrooms have a knowledge-building culture

  • Sustaining higher order mathematical thinking through the active role of both teacher and student.
  • Challenging existing conceptions and using mistakes as a vehicle for learning.
  • Enhancing learning through active exploration of a variety of perspectives, including ideas from other people and disciplines.
  • Building success and understanding through collaborative inquiry, action and reflection, enhanced by the use of technologies as tools for working mathematically.
  • Eliciting productive dispositions, including productive struggle and the motivation and confidence to take risks.