Asia Pacific Journal of Educators and Education, Vol. 29, 19–37, 2014
© Penerbit Universiti Sains Malaysia, 2014
LEARNING BASIC ADDITION FACTS THROUGH
SENSE-MAKING AND UNDERSTANDING
Poon Cheng Yong
1
*, Yeo Kee Jiar
2
and Noor Azlan Ahmad Zanzali
3
1
Jabatan Ilmu Pendidikan, Institut Pendidikan Guru Kampus Tun Abdul Razak,
94300 Kota Samarahan, Sarawak
2, 3
Faculty of Education, Universiti Teknologi Malaysia, 81310 Skudai, Johor
*Corresponding author: jasmine_mpsm@yahoo.com
Abstract. The traditional diagnostic and remedial approaches which are based on the
behaviourist framework of learning might not facilitate students in acquisition of
conceptual understanding and procedural knowledge. This research was intended to help
students with mathematics learning difficulties improving their mathematical knowledge
of basic addition facts through an instructional model for remedial intervention of
mathematics. This model involves application of concrete materials, application of a
mixed instructional approach, delivery of conceptual and procedural knowledge, and use
of problem-solving activity. Using a case study design, a remediation class teacher and
four students at a suburban elementary school were involved. Data was collected using
observation, students’ work, and interview. Qualitative data was analysed using a
qualitative approach. Research findings indicate that concrete materials could be used as
a tool for sense-making or counting by students. It depends on the individual differences
of students and the instructional approach of teacher. In general, a teacher-directed
learning process was carried out but because students were allowed to make their
decisions in problem-solving, some students managed to construct their knowledge rather
than follow procedures prescribed by their teacher. Learning of both conceptual and
procedural knowledge was facilitated through problem-solving activity and incorporation
of some constructivist approaches. Mathematical knowledge of students was improved in
the remedial intervention which was based on the instructional model. For remedial
intervention, teachers should reduce the use of behaviourist approaches gradually, and
incorporate more student centred approaches, based on the student individual differences
and usual practice.
Keywords: basic addition facts, conceptual understanding, instructional model,
procedural knowledge
INTRODUCTION
Students in the elementary schools are expected to master basic skills of reading,
writing, arithmetic, and reasoning (Ministry of Education Malaysia, 2010). Those
who have not mastered the above skills in Malay Language and Mathematics
during the first three years of their schooling would be pulled out from regular
classroom and assigned to a teacher who is appointed as the remediation teacher