id: 06479520
dt: j
an: 2015f.00756
au: Sokolowski, Andrzej
ti: Inductive reasoning and the theory of equation.
so: Math. Teach. (Derby) 233, 44-46 (2013).
py: 2013
pu: Association of Teachers of Mathematics (ATM), Derby
la: EN
cc: H33 U73 D83 M53
ut: elementary algebra; solving equations; approach; educational software;
interactive simulation; seesaw equilibrium; balancing; physics;
kinematics; inductive reasoning; teaching units; notation; mathematical
symbols; equals sign; generalisation; pattern formulation;
verification; confirmation; student activities
ci:
li: http://www.atm.org.uk/write/MediaUploads/Journals/MT233/Member/ATM-MT233-44-46.pdf
ab: Summary: The author proposes an interactive approach with grade 9 students.
Students’ understanding of the theory of algebraic equations is
essential in their mathematics education. Equations, along with
functions are also the main algebraic tools used to quantify scientific
experiments, conduct statistical analyses or verify engineering
designs. A substantial research body has proved that students face
difficulties understanding the theory of algebraic equations, which
results in failing to correctly solve them. The main reason for
students’ deficiencies is a lack of emphasis on the relational role
of the equals sign. Equation can be defined as ‘the state of being
equal, equivalent, or equally balanced’. So, what image can we use to
convey this ‘state’ to learners? The ‘balance’ is a frequently
used device, but a seesaw is equally valid as many learners will have
experienced a seesaw in their early years. This piece describes how a
simulation of a seesaw ‒ free to download ‒ can be used in the
classroom to display the concept of equation. Students begin by being
immersed in the process of inductive reasoning, then move to pattern
formulation and verification. The focus is on student thinking and
discussion. The goal is to be able to solve linear equations where the
software is used to scaffold the learning with appropriate question
posing by the teacher. The software is not new, neither is it complex,
but it is user friendly. In short, this is a well-reasoned approach to
the teaching and learning of the theory of equation.
rv: