Assessing student teachers' ability to pose mathematical reasoning problems within their experiences in teacher education is essential due to their increasing challenges in preparing for 21st-century learning. This study investigates the quality of mathematical reasoning problems posed by student teachers. Thirty-four student teachers at a public…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

Affective and cognitive processes may be jointly researched to better understand mathematics learning, paying special interest to emotions related to knowledge acquisition. However, it remains necessary to explore these processes in studies linked to the education of pre-service mathematics teachers. This study aims to characterize epistemic…

This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…

National and state standards in the US have emphasized the importance of solving and posing word problems in students' mathematics learning for decades. Therefore, it is essential for prospective teachers (PTs) to have the mathematical knowledge necessary to teach these skills to their future students. Unfortunately, little research has…

Purpose: Second and foreign language (SL/FL) teachers' informal problem-solving has received little explicit research attention while it is widely acknowledged that problem-solving is crucial to expertise development in any complex knowledge domain. To develop a clearer understanding of the role of informal problem-solving in SL/FL teachers'…

Extant research has demonstrated that problem-posing and problem-solving mutually affect one another. However, the exact nature and extent of this relationship requires a detailed elaboration. This is especially true when adidactical problem-posing arises within a problem-solving context. In this study, we analyze the scripting journey used by two…

Due to the nature of the teaching environment, students may often develop perceptions of their lecturers' ability as mathematicians, based on the pre-prepared and well-rehearsed content they present. In reality, performing mathematical calculations and solving problems is a difficult skill, and students may compare their own experiences…

Understanding and knowledge of scientific reasoning skills is a key ability of pre-service teachers. In a written survey (open response format), biology and chemistry pre-service teachers (n = 51) from two German universities claimed central decisions or actions school students have to perform in scientific reasoning in the open inquiry…

The present study aims to examine the mathematical language use of primary prospective teachers through the mathematical texts they write. Forty-seven 3rd-year prospective teachers studying in the Department of Mathematics Education at a university participated in the study. The prospective teachers were asked to solve 4 open-ended mathematics…

Sociomathematical norms are the explicit or implicit arrangements that affect participation in mathematics classes and the emerging interactive structure of mathematical practice. For effective instruction, the teacher should guide the creation and development of acceptable sociomathematical norms. Thus, pre-service teachers should be given…

The purpose of our study is to delve into the education gap between the United States and some countries by examining the literacy and digital problem-solving skills of American educators, and comparing their performance with that of their peers from Canada, Finland, and Japan. We use PIAAC data collected by the Organization for Economic…

This paper describes a project that sought to simultaneously facilitate the mathematical learning of both preservice teachers (PSTs) and schoolchildren. The project involved the organization of community Math Stations related to research-based number sense activities and was integrated within two university-level courses. This article describes…

We report results from a mathematics content course intended to help future teachers form a coherent perspective on topics related to multiplication, including whole-number multiplication and division, fraction arithmetic, proportional relationships, and linear functions. We used one meaning of multiplication, based in measurement and expressed as…

Problem solving has long been a priority in mathematics education, and the first Common Core mathematical practice (SMP1) focuses on this priority through the language of "Make sense of problems and persevere in solving them." We present findings from a survey about how prospective elementary teachers' (PTs) make sense of potential…