5th and 8th grade pupils’ and teachers’ perceptions of the relationships between teaching methods, classroom ethos, and positive affective attitudes towards learning mathematics in Japan



174

mathematics (ap.5.2.3.8th P), while others mentioned that self-reliance in mathematics
learning would promote motivation (ap.5.2.4.8th P).

Secondly, one quarter of teachers of both age groups (seven teachers from each age
group; 22% at 5th grade and 23% at 8th grade) considered that inspiring pupils’ interest in
mathematics learning would promote motivation. Some teachers of both age groups
thought that activities-based teaching methods, such as practical work and using a
computer, would promote pupils’ interest, amusement and curiosity better than teaching
methods traditionally adopted such as teacher explanation and doing exercises
(ap.5.2.5.5th T; ap.5.2.6.8th T). Approximately one quarter of 8th graders (N=116, 27%)
referred to this (ap.5.2.7.8th P). The teaching methods they suggested as promoting
pupils’ motivation to learn mathematics by inspiring interest were diverse; practical work
(ap.5.2.8.8th P), using a computer (ap.5.2.9.8th P) and doing exercises (ap.5.2.10.8th P).
Some students indicated that their curiosity about new teaching methods could promote
their motivation (ap.5.2.11.8th P).

Thirdly, six teachers from both age groups (19% of the 5th grade and 20% of the 8th
grade groups) wrote that catering for pupils’ individual needs in mathematics learning
promoted pupils’ motivation (ap.5.2.12.8th T). Teachers wrote that teaching methods
which avoided monotonous style lessons motivated pupils to learn mathematics
(ap.5.2.13.5th T). Teachers believed that teaching methods catering for individual current
attainment (ap.5.2.14.5th T; ap.5.2.15.8th T), individual preferences of learning style
(ap.5.2.16.5th T), and individual interest in learning (ap.5.2.17.5th T) should be
considered, in order to motivate pupils to learn mathematics. Seventeen 8th graders (4%)
also pointed out this aspect. One 8th grader wrote that he felt able to try hard in individual
work because of its flexibility of pace and or receiving help according to his needs
(ap.5.2.18.8th P).

Fourthly, three 5th grade teachers (9%) and five 8th grade teachers (18%) considered
that promoting pupils’ understanding of the curriculum would enhance pupils’ motivation
to learn mathematics (ap.5.2.19.5th T; ap.5.2.20.8th T). Teachers thought that pupils’
understanding of the curriculum was promoted through learning with peers (ap.5.2.21.5th
T), working with tangible materials (ap.5.2.22.5th T) and receiving individual help from the
teacher (ap.5.2.23.8th T). As a result of these, pupils’ motivation to learn mathematics

174



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