Rich and challenging tasks can be the vehicle to bring mathematical challenge in classroom. Challenge emerges when you don't know how to solve the task at first but you can figure out, that is when the solvers are not aware of certain tools to solve the tasks and they have therefore to invent some mathematical actions to proceed. Some challenging…

Introductory and remedial courses in college mathematics often serve as a gateway to student success. However, these university courses have seen little innovation despite historically low success rates. We sought to address deficits of the traditional lecture model and enhance student learning in an introductory college algebra course through the…

GeoGebra is a dynamic geometric software developed for the support of mathematics teaching. The aim of this research was to study the effect of GeoGebra on mathematics achievement in relation to the linear equations and explore the perception of students towards the use of GeoGebra in teaching mathematics. Forty students were participating in this…

To remain competitive in a global economy, it is important that institutions of higher education provide equitable teaching practices to support female students in STEM (Joseph et al., 2017). Despite this need, teacher-centered teaching practices in calculus courses have become a roadblock for female students passing the course and STEM degree…

This study explores the relationships among students' perceived learning opportunities in school mathematics, their perceptions of self in mathematics, and their desire to learn more mathematics in the future. Data included student survey responses from eighth and tenth grade students from a state in the Southeast region of the United States.…

Multiple external representations (MERs) play an important role in the learning field of mathematics. Whereas the cognitive theory of multimedia learning and the integrative text and picture comprehension model assume that the heterogeneous combination of symbolic and analogous representations fosters learning; the design, functions, and tasks…

The understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students' understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real…

Math anxiety is considered a predictor of mathematical achievement, but little is known about its characteristics in young children. In a longitudinal study of first to second grade children, the relationships between gender, general and math anxiety, and math achievement were tested. First, the results indicate that girls in comparison to boys…

The development of conceptual multiplication knowledge will assist students in making progress within current mathematics standards. Previous research has shown the concrete-representational-abstract (CRA) sequence to be successful in teaching multiplication with regrouping with an emphasis on conceptual understanding while developing fluency and…

This study investigated the features of elementary students? problem solving skills, when teachers provide scaffolding in the process of solving an illstructured problem in an elementary school mathematics classroom in Seoul, South Korea. In this study, participants solved the ill-structured problem following the phases of Analyze, Browse, Create,…

Representing repeating nonterminating decimals as rational numbers is a topic introduced in the seventh-grade Common Core State Standards for Mathematics. According to Content Standard 7.NS.2.D., students should be able to represent a rational number as a decimal and understand that the decimal will either end in zeros or eventually repeat (NGO…

This paper sought to investigate the mathematics teachers' reflection on the role of Productive Pedagogies' framework in festering effective classroom instruction. Two research objectives were used to discuss the reflection of the four mathematic teachers. A qualitative case study was adopted as the design of the study. Classroom observations,…

In this work, recurrent and linear sequences are studied, exploring the teaching of these numbers with the aid of a computational resource, known as Google Colab. Initially, a brief historical exploration inherent to these sequences is carried out, as well as the construction of the characteristic equation of each one. Thus, their respective roots…

One argument for the use of contexts in mathematics instruction has been that contexts can serve as anchors that support students in understanding and recalling mathematical ideas. Evidence of this anchoring role occurring in standard classroom settings, however, is lacking. This case study of a single high school classroom using a contextual…

Through the historical analysis of Dienes' works and through the suggestions of activities, the objective of this text is to understand the movement of systematization of knowledge for teaching and to teach classification, ranking, and ordination through the use of logical blocks during the Modern Mathematics Movement (1960-1980), a time of…