| Early
algebraic thinking: links to numeracy
One year project 2006
Chris Linsell, Dunedin College of Education
Project
aim
The aim of
the research is to make explicit the knowledge and strategic thinking
of students as they make the transition from arithmetic to algebra.
The research questions consequent on this aim are:
- What knowledge
and strategies do students use to solve equations?
- What diagnostic
questioning is appropriate for eliciting the knowledge and strategies
used by students?
Project plan
The teachers
will first need to become familiar with the research literature
on the learning of algebra. They will then be able to make significant
contributions to the development of the diagnostic interview questions.
Students from the teachers’ own classes and those of colleagues
will be used for trialling the questions in the development process.
Recorded interviews of students will be analysed by the whole
research team. There will be regular meetings to view the videotapes
and discuss the effectiveness of the questions and the student
strategies that are revealed. Questions will then be re-written.
This process will be repeated a number of times during the year.
By the end of the year we will have a diagnostic interview capable
of revealing the knowledge and strategies that students use to
solve linear equations.
Partnerships
involved
Principal
researcher: Chris Linsell, Dunedin College of Education
Teacher: Melissa Bell, John McGlashan College
Teacher: Noel Johnston, King’s High School
Teacher: John Bell, Otago Boys High School
Researcher: Jan Savell, Numberworks
Expected outcomes
It is anticipated
that eventually this will extend the Number Framework beyond the
current upper level of advanced proportional thinking.
Selected Publications
Download
the summary of the project report [pdf, 64
KB]
Download
the full text of the project report [pdf, 646
KB]
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