Abstract
This research aims to construct and validate progress maps of digital technology for diagnosing the multidimensional mathematical proficiency (MP) in Number and Algebra for Grade 7 students utilizing the Construct Modeling Approach. Researchers employed four building blocks as follows. Firstly, researchers developed the progress maps as an assessment framework of multidimensional MP. This is followed by creating the test for diagnosing MP. Next, researchers assigned scoring criteria and created the transition points of students’ MP levels. Finally, researchers validated the quality of the progress maps through empirical evidence. A total sample 1,500 Grade 7 students was used to support the validity and reliability evidence of the progress maps through the Wright Map using Multidimensional Random Coefficients Multinomial Logit Model. Results revealed that there were two dimensions of progress maps, namely mathematical procedures (MAP) and structure of learning outcome (SLO), and the researchers investigated three strands of validity evidence, namely test content, response processes, and internal structure. The reliability values in the MAP and SLO were 0.84 and 0.80 respectively. Finally, the Grade 7 students were mainly found to be at level-2 in the MAP dimension (44.95%) and the SLO dimension (61.57%). The experts’ evaluation results showed that the digital technology that was developed at the “most appropriate” quality levels in terms of usefulness, suitability, and accuracy, and at the “very appropriate” for the feasibility aspect, and hence is successfully contributing to the clarification of learning goals, to support for student-centered instruction, and that it is helpful in improving in teacher professional development.
Highlights
Mathematics is a form of practical knowledge in our daily life which is a fundamental discipline and a foundation for many other scientific disciplines and it plays a significant role in stimulating students’ learning (Huang, Huang, & Wu, 2014)
Since we are living in an era of accelerating change in society, due to technological development, students have to be prepared with sufficient mathematical proficiency (MP) in terms of skills and competencies needed for work and life in the 21st Century (Redecker & Johannessen, 2014)
Results imply that the test was found to be suitable for the Grade 7 students and they were at a moderate level of mathematical procedures (MAP) dimension of MP
Summary
Mathematics is a form of practical knowledge in our daily life which is a fundamental discipline and a foundation for many other scientific disciplines and it plays a significant role in stimulating students’ learning (Huang, Huang, & Wu, 2014). Since we are living in an era of accelerating change in society, due to technological development, students have to be prepared with sufficient mathematical proficiency (MP) in terms of skills and competencies needed for work and life in the 21st Century (Redecker & Johannessen, 2014). MP is defined as a student’s ability to explore, conjecture, and reason logically in cognitive processes and to understand how to solve mathematics problems that is to, apply, and adopt appropriate strategies to solve the problems, and reflect on the process used to solve the problems (Junpeng, Inprasitha, & Wilson, 2018). Conceptual understanding refers to the integrated and functional grasp of mathematical ideas which enables students to learn new ideas by connecting those ideas to what they already know. Strategic competence is the ability to formulate, represent, and solve mathematical problems
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