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Students’ perceptions of mathematics classroom learning environments: measurement and associations with achievement

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Abstract

In this study, we measured students’ perceptions of mathematics classroom learning environment and investigated their associations with students’ achievement. The Mathematics-Related Constructivist-Oriented Classroom Learning Environment Survey (MCOLES) was developed with seven dimensions and 56 items, using theories surrounding classroom learning environment. For a sample of 423 grade 10 students from five schools in India, we validated the MCOLES by exploratory factor analysis and then by confirmatory factor analysis, which suggested the exclusion of 11 items and yielded an 11-factor solution. For achievement on a topic taught, mainly medium correlations emerged with the learning environment factors, suggesting practical implications for classroom teaching. This study is methodologically significant in proposing and validating the new MCOLES for measuring classroom learning environments in secondary-school mathematics.

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Appendix: Listing of items in Mathematics-Related Constructivist-Oriented Learning Environment Survey (MCOLES)

Appendix: Listing of items in Mathematics-Related Constructivist-Oriented Learning Environment Survey (MCOLES)

Student Cohesiveness and Personal Relevance

1.

I make friends with many students in my mathematics class and many of them are already my friends

2.

I know other students in my mathematics class and I work well with them

3.

Students in my mathematics class like me because I am friendly with them

4.

I help other class members who are having trouble with their mathematics work, and they help me too

5.

I relate what I learn in my mathematics class to my life outside school and connect it

6.

I draw on my past experiences and apply them to the work in my mathematics class

7.

What I learn in my mathematics class is relevant to my everyday life in my school and outside

8.

My mathematics class is relevant to my life because I get an understanding of life even outside of school

Teacher Support

9.

My mathematics teacher is interested in my mathematics problems

10.

My mathematics teacher goes out of his/her way to help me

11.

My mathematics teacher considers my feelings

12.

My teacher helps me when I have trouble with my mathematics work

13.

My mathematics teacher talks with me about mathematics work

14.

My mathematics teacher takes an interest in my progress

15.

My mathematics teacher moves about the class to talk with me

16.

My mathematics teacher’s questions help me to understand

Involvement

17.

I discuss ideas in my mathematics class

18.

I give my opinions during mathematics class discussions

19.

My mathematics teacher asks me questions

20.

I contribute to mathematics discussions in my class with my ideas and suggestions

21.

I ask my mathematics teacher questions

22.

I explain my mathematics ideas to my peers

23.

Students discuss with me how to go about solving problems

24.

I am asked to explain how I solve problems

Task orientation by Cooperation

25.

I cooperate with other students and learn from them when doing mathematics assignment work in the class

26.

I share my mathematics books and resources with other students and cooperate with them when doing mathematics assignments in mathematics class

27.

When I work with others in groups in mathematics class, we work as a team to achieve class goals

28.

I work on mathematics tasks with other students in my class

29.

I know getting a certain amount of mathematics work done is important and how much of mathematics work I have to do

30.

I try to understand the mathematics work that I am required to do when completing a mathematics task

31.

I know the goals set for my mathematics class

32.

I am ready to pay attention to my mathematics teacher from the beginning until the end of the class

Equity

33.

My mathematics teacher gives me as much attention as to other students in my mathematics class

34.

My mathematics teacher helps me as much as he does to others in my mathematics class

35.

I have the same amount of say in my mathematics class as other students

36.

I am treated the same as other students in my mathematics class

37.

I receive the same encouragement from my mathematics teacher as other students do

38.

I get the same opportunity to contribute to mathematics class discussions as other students

39.

My mathematics work receives as much praise as other students’ work

40.

I get the same opportunity to answer mathematics questions as other students

Differentiation

41.

I work at the speed which suits my mathematics ability

42.

Students who work faster than me can move on to the next mathematics topic

43.

I choose mathematics tasks suited to my interest

44.

The mathematics tasks that are used in my class are suited to my interest

46.

I use different mathematics materials from those used by other students

47.

I use different mathematics assessment methods from other students

48.

I do mathematics work that is different from other students’ work

49.

For improving my mathematics learning I use feedback from assessment tasks and understand their link with classroom activities

50.

Mathematics assessment tasks are an important part of my learning as they help me to recognise my weaknesses in mathematics understanding

51.

Mathematics assessment tasks help me to understand the topic

52.

I find the mathematics assessment tasks meaningful and helpful to monitor my own learning

53.

The criteria for mathematics assessment are clear to me as they inform me which activities and tasks are used to assess my performance

54.

The requirements for assessment tasks are clear to me and I know what types of information I need for completing such tasks

55.

I understand how my teacher judges my work from my teacher’s instructions for doing assessment tasks

56.

I know how to complete different assessment tasks successfully

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Aluri, V.L.N., Fraser, B.J. Students’ perceptions of mathematics classroom learning environments: measurement and associations with achievement. Learning Environ Res 22, 409–426 (2019). https://doi.org/10.1007/s10984-019-09282-1

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