The need for data literacy is an increasingly pressing priority in society, but most of the work in data-centred education has focused on developing skills at the middle school, secondary, and post-secondary levels, with little attention on the potential for engaging elementary-aged students in reasoning with and about data. This paper reports…

As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the…

Incorporating small-group discussions in classrooms has shown promising benefits in improving 4th grade students' thinking and social skills; however, the practice remains challenging. Although teachers are motivated to try to incorporate small-group discussions, studies examining the shift from teacher-dominated classroom practice towards a more…

By taking the role as a mentor and a facilitator, a teacher in the 4th grade of elementary school needs to look at the condition of the students in the concrete thinking stage. Learning process needs to be adjusted such that the abstract objects in mathematics can be represented through concrete objects as a bridge to enter the knowledge that the…

In a test the presence or absence of a "structure" in the individual's cognitive processes of formal operations thinking, 61 fourth, fifth, and sixth grade students were administered three tasks supposedly requiring such a method of thinking. The three tasks were (1) a problem solving task (PS), (2) a chemistry task requiring a certain combination…

This study investigated the effects of instruction in reflective thinking upon impulsive fourth grade students and the transfer effects of this instruction on a classroom social studies test. Thirty impulsive subjects from a white, low socio-economic area school were identified. Treatment and impulsivity were examined as they influenced…