We present the Active Learning tools introduced in basic mathematics courses in the Preparatory Curriculum for Engineering schools at Université Claude Bernard. Additions were introduced in the academic year 2018/2019 in Foundations of Mathematics 2, in the first year of bachelor study program. Its content are Linear Algebra (matrices, vector…

Developing expertise in professional noticing of students' mathematical thinking takes time and meaningful learning experiences. We used the Lesson"Sketch" platform to create a learning experience for secondary preservice teachers (PSTs) involving an approximation of teaching practice to formatively assess PSTs' noticing skills of…

Formative assessment benefits both students and teaching academics. In particular, formative assessment in mathematics subjects enables both students and teaching academics to assess individual performance and understanding through students' responses. Over the last decade, educational technologies and learning management systems (LMSs) are used…

This action research study presents the findings of using a formative assessment strategy in an online mathematic course during the world-wide outbreak of COVID-19 at the University of Passau, Germany. The main goals of this study were: (1) to enhance students' self-regulated learning by shifting the direction of assessment from instructors to the…

Formative assessment is so important to inform teachers' planning. A discussion of the benefits of using technology to facilitate formative assessment explains how four primary school teachers adopted three different apps to make their formative assessment more meaningful and useful.

The purpose of this study was to investigate the ways that teachers use connected classroom technology (CCT) in conjunction with the Texas Instruments Nspire calculator to potentially support achievement on Algebra problems that require translation between representations (i.e., symbolic to graphical). Four Algebra I classrooms that initially…

This paper is based on a design-based research project investigating how to use digital resources to help activate formative assessment processes in the classroom. Performed as part of FaSMEd, a European Union project, our own project adopts a comprehensive theoretical framework, including the different functionalities of technology, formative…

This article presents the Center for Pedagogical Measurements' experience of assessment procedures transformative challenge when the COVID-19 was unfolding across the world and when there was no ready scenario that could guide online instruction and assessment as well. The authors of the article have provided the cases of adaptive responses and…

Online homework systems, which deliver homework assignments to students and provide real-time feedback on their responses, have the potential to increase student learning in college mathematics classes. However, current research on their effectiveness is inconclusive, with some studies showing gains in student achievement, whereas others report…

"WeBWorK" CLASS combines the best features of online homework and digital whiteboards to create a system that provides instructors with information on students' problem-solving processes, as well as their final answer. The system's utilization of tools that can sort students based on correct and incorrect homework and quiz answers and…

The paper reports a research study aimed at investigating the appeal and pedagogical efficacy of animated teaching avatars. Specifically, the goal of the study was to determine whether animated characters could be effective and engaging teachers in the context of undergraduate surveying mathematics. The study included two forms of evaluation:…

In a randomized field trial with 2,850 seventh-grade mathematics students, we evaluated whether an educational technology intervention increased mathematics learning. Assigning homework is common yet sometimes controversial. Building on prior research on formative assessment and adaptive teaching, we predicted that combining an online homework…

The increased use of videos in mathematics courses means that direct instruction, traditionally part of class lectures, now often occurs outside of the classroom. Although students come to class with some baseline level of understanding, instructors lose opportunities to assess students' understanding of content as it is seen for the first time.…

Homework has been a mysterious world to educators due to the fact that it is hard to collect data with regard to homework behaviors. Little is known about when a student works on homework, how long it takes him to complete the homework, how much time he spends on a problem and whether and where he has struggled, etc. Such information not only have…

E-learning will be gradually introduced to all schools and to all specialties including math lessons. Mathematics courses have increased flexibility and can be accessed from anywhere , anytime via computer linked to internt and web technologies. Characteristics of e-learning in mathematics are : efficiency, immediate, large viewing opportunities ,…