INTERNATIONAL JOURNAL OF SCIENTIFIC & TECHNOLOGY RESEARCH VOLUME 9, ISSUE 02, FEBRUARY 2020 ISSN 2277-8616
4000
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Mathematical Thinking On Problem Solving And
Self-Regulation Strategies Of Filipino Primary
Grade Pupils
Lily G. Salangsang, Gener S.Subia
Abstract: This study explored the mathematical thinking on problem solving and self-regulation strategies of Filipino primary grade pupils in a school
located in an urban area in Nueva Ecija, Philippines. The pupils solved arithmetic story problems in English. Results showed that the pupils were
capable of solving story problems written in English and did much better when the problems were translated in Tagalog, their home language. They were
able to solve multiplication and division problems prior to receiving formal instructions of these operations. Results also showed that the pupils employed
self-regulated solution strategies like writing a number sentence, algorithm in subtraction, estimation, backward counting, trial and error, use of tally
marks, making a drawing, skip counting, repeated addition, and invented algorithm. Because they were free to employ solution strategies of their own
choice, invented algorithms and creativity came out from their works. The proficiency on the language in which the problem is written plays an important
role in pupils’ success in solving story problems in mathematics. The results of the study present relevant implications to p roblem solving pedagogies
and mathematics instruction particularly in the primary level.
Index Terms: Algorithm, arithmetic, creativity, mathematical thinking, problem solving, proficiency, self-regulation strategies
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1 INTRODUCTION
Problem solving is the most important aspect of learning
mathematics. In the mathematics curriculum, early childhood
mathematics is the basic foundation which paves the learner’s
foundation to a better and meaningful learning to solve
problems in the upper grades and eventually in college. If
schoolchildren learn to solve problems early, they will be more
capable of solving a wide variety of complex and meaningful
problems as they grow older. In a mathematics class, problem
solving is a means to probe mathematical thinking of the
learner. Mathematical thinking of children evolves from the
different story problems that they can solve, and from the
solution strategies that they can construct on their own. In the
conventional way of teaching and learning problem solving,
explanation is dominated by ―teacher talk‖. The learners
usually imitate the ―teacher’s way‖ of how to solve problems.
The students spend their time copying definitions,
mathematical formulas, problem solutions from chalk boards
and recorded texts, and listening to the teacher’s explanation
until they ―memorize‖ the information. Learners who have
developed this conventional way of solving problems may not
be a meaningful strategy to other and novel problem
situations. The problem solving competence that the learner
previously learned from memorized tasks would only be limited
to problems of similar context and structure. Children think
differently from adults. The children are naturally curious and
have the intuitive ideas and skills to solve different types of
problems. By looking into the capabilities of pupils to solve
different problems even without direct instructions, their
abilities may develop further and deeper.
As a way of thinking, problem solving is not directly
transmitted, but it rather develops progressively. If young
learners are allowed to use or invent strategies that are
meaningful to them and not forced to memorize procedures to
follow, a problem solving schema is expected to emerge
naturally. Problem solving is closely related to self-regulated
learning [1]. According to [2], self-regulation is a skill that
enables the learners to engage in learning activities and take
charge of their thoughts, feelings, and actions that are
planned, monitored, and reflected upon. Problem solving and
self-regulation are both complex tasks that require the learners
to be active and strategic problem solvers [3]. The learners
tend to use self-regulated learning strategies while solving
complex and challenging problems [4]. The author in [5]
claimed that ―meta-cognitive self-regulation can be central to
success in problem solving because it enhances the selection
and use of strategies for successful task completion‖. The
study of [6] investigated elementary school learners’ problem
solving performances and their meta-cognitive self-regulatory
behaviors. Findings of the study showed that while solving
problems, the learners displayed different meta-cognitive
behaviors such as suggesting a plan, assessing difficulty,
reviewing progress, recognizing error, and self-questioning
their thinking. Self-regulation may serve as a comprehensive
framework for understanding how learners become active
agents of their own learning process [7]. The use of self-
regulation strategies is a crucial characteristic of, and
significantly contributes to problem solving processes [8].
Zimmerman (2005) [2], added that motivation is also a core
component of self-regulation. When a learner is motivated to
achieve his/her goal, the greater is the ability to strive toward
the achievement of that goal. When mathematical
thinking in problem solving and self-regulation learning are
determined early on among primary grade learners, these
constructs develop progressively to adult life. This study
explored the mathematical thinking in problem solving and the
self-regulation strategies which Filipino primary grade learners
used in the tasks given. Specifically, it answered the following
questions:
1.What level of understanding do primary grade pupils have on
different types of story problems?
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• Lily G.Salangsang,Ph.d., is currently a faculty of Mathematics and
Statistics in the Graduate School of Nueva Ecija University of
Science and Technology, Philippines. E-mail:
lilysalangsang@yahoo.com
• Engr. Gener S.Subia,Ph.D. is currently a faculty of Mathematics
and Statistics in the Graduate School of Wesleyan University
Philippines, Philippines. E-mail: subiagener@yahoo.com