Subject Knowledge in Grade 3 After an Inclusive Mathematics Intervention in Preschool

Subject Knowledge in Grade 3 After an Inclusive Mathematics Intervention in Preschool

DOI: 10.4018/979-8-3693-0664-2.ch013
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Abstract

This chapter is an analysis and comparison of students' subject knowledge in mathematics in Grade 3 (Age 9) after an extensive whole-class intervention using the teaching material think, reason, and count (TRC) during the preschool-class year (Age 6). The national test (NT) reveals that the TRC-group (n = 79; 4 classes) performed better than the control group (n = 55; 3 classes), and a significant difference is shown on two of the subtests. This chapter shows that inclusive mathematics education in preschool-class focusing on reasoning about representations of numbers develops good mathematical knowledge and is especially supportive for students at-risk. Correlation of the tested areas of mathematics to TRC reveal that at-risk-students perform better in all areas of TRC.
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Introduction

Of all countries participating in PISA 2003-2012, Sweden had a high increase of low-performing students in mathematics. In PISA 2015 the trend seemed to be broken for Sweden but the number of low-performing students is still high (OECD, 2016). Students’ early education have been shown to affect the performance in later years and early interventions have in various studies shown to be crucial for preventing students at-risk from becoming low-performing students (e.g., Sterner, 2015; Aunio, Heiskari, Van Luit & Vuorio, 2014; Holmes & Dowker, 2013). However, studies of long-term effect of early interventions in school remain few and inconclusive (Mononen, Aunio, Koponen, & Aro, 2014). Therefore, the need for research on methods for preventing students from becoming low performing is still high.

However, results suggest that using the whole-class teaching programme Think, Reason and Count (TRC by Sterner, Helenius & Wallby, 2014) during preschool-class (at age 6) positively affects at-risk-students’ mathematical performance in Grade 3 (at age 9) (Vennberg & Norqvist, 2018). At-risk-students refer both to students already in mathematical difficulties and students at-risk of becoming low-performing students or facing mathematical difficulties. The results show that TRC-students performed better and that the performance gap for the students at-risk were reduced. Vennberg & Norqvist (2018) suggest that TRC may be successful in preventing future mathematical difficulties. That indication is in line with results suggested by other studies in this field (e.g., Duncan, Dowsett, Claessens, Magnusson & Huston, et al., 2007; McIntosh, 2008; Morgan, Farkas & Wu, 2011; Nunes, Bryant, Sylva & Barros, 2011). In addition, improvement among students at-risk using TRC had no negative effect on students who performed at higher levels. In fact, the results suggested that also students at higher performance levels, might benefit from following TRC (Vennberg & Norqvist, 2018).

To understand why TRC-students perform better than their peers at age 9 and given the lack of longitudinal studies of early interventions and ways to help students at-risk to succeed in mathematics, questions arise regarding which key components and within which areas of mathematics the students were helped when using TRC. Therefore, a detailed analysis of students tests results on Swedish national test in grade 3 (NT) in mathematics can help explain the differences in performance between and within groups of at-risk and not-at-risk students and identify areas of mathematics that can help students at-risk avoid low-performance in mathematics later in school.

To reveal potential differences in areas of mathematics between the TRC-group and the control group and understand the correspondence to TRC, three questions have guided this study.

Q1: What differences can be seen in a comparison of the results of the subtests of the national test (NT) between the TRC-group and the control group, and what characterizes the group of at-risk-students in this comparison?

Q2: In which areas of mathematics are differences in the subtests’ results visible, and what characterises the group of at-risk-students in this comparison?

Q3: In what way does the mathematical content of TRC corresponded to the content and results of the subtests?

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Background

In an international context, the Swedish preschool-class (6 years old) is a unique educational form. Preschool-class has a special position in the Swedish school system and are not to be seen as an extra school year. From school year 2018/2019 preschool-class is included in compulsory education but continues to be a separate form of schooling within the school system (Prop. 2017/18:9). The purpose of the preschool-class is to transition students from informal learning in preschool (1-5 years old) to formal learning in school (7-15 years old; Grade 1-9) and to link the two different school forms (Swedish National Agency for Education, 2001).

Key Terms in this Chapter

At-Risk Student: Is in this context both students already in mathematical difficulties and students at-risk of becoming low-performing students or facing mathematical difficulties.

TRC: Think, reason, and count in preschool-class is a material based on a teacher’s guide with structured activities in mathematics in which students, both individually and in groups, meet, use, develop and reason about different representations of numbers.

Subject Knowledge: Refer to the content in the syllabus and curriculum: understanding and use of numbers, algebra, geometry, probability and statistics, relations and change, and problem solving.

National Test (NT): Swedish national test (NT) in mathematics is compulsory for students in Grade 3 and consist of a number of subtests.

Preschool Class: Is an educational form for 6 years old. The purpose of the preschool-class is to transition students from informal learning in preschool (1-5 years old) to formal learning in school (7-15 years old) and to link the two different school forms.

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