Too often our students submit incomplete homework that is disorganized, unclear, and nonlinear. Typesetting with LATEX, although time consuming for those new to the software, strengthens communication by forcing organization and proper notation required by the precise, formal language of mathematics. In this manuscript we report on a study of 42…

Admittedly, the notion of generalized integrals in one parameter has a fundamental role. En virtue that, in this paper, we discuss and characterize an approach for to promote the visualization of this scientific mathematical concept. We still indicate the possibilities of graphical interpretation of formal properties related to notion of…

This study focused on the development of the learners on how Video-Based Experiential Approach will help learners to keep the pace of learnings in this pandemic. This study provided various evidence on how innovation can be a great step in developing the learners in learning about fraction. The purpose of this action research is to determine the…

This study examines the English language learning outcomes of young Chinese L1 children when using a digital self-guided learning tool, ABCmouse "English Language Learning Academy" (ABCmouse ELL), created by Age of Learning, Inc. and designed based on principles of second language research. In a pretest, posttest study design, experiment…

The educational laws establish an organization and a grouping of the contents of the educational system they rule. As far as we know, the set of experts who design it neither follow precise objective criteria nor use computer tools. That is why they are not usually rotund. We consider that defining precise objective criteria is the key to develop…

This study examines the classroom practice and craft knowledge underpinning one teacher's integration of the use of GeoGebra software into mathematics teaching. The chosen teacher worked in an English secondary school and was professionally well regarded as an accomplished user of digital technology in mathematics teaching. Designed in accordance…

With the changing students' generations and education content as well as modernization of educational technologies, various technical solutions are increasingly used by the teachers to supplement daily classroom activities. One of the novelties introduced in Lithuania in 2013 -- ActivInspire system -- was oriented towards mathematics and science…

The purpose of the present study was to gather summative and formative data related to the implementation of Zearn Math during the first year of a two-year study. The sample included students in a large urban school district comprised of predominantly African American (58%) and Hispanic (28%) students. Roughly 90% of students are economically…

This experimental study investigated the effects of the use of two versions of a pedagogical agent named personal instructing agent (PIA) on the mathematics performance of students. The first version exhibits synthetic facial expressions while the second version does not exhibit facial expression (i.e., neutral facial expression). Two groups of…

Activities for Students appears five times each year in Mathematics Teacher, promoting student-centered activities that teachers can adapt for use in their own classroom. In the course of the activities presented here, students will "look for and make use of structure" by observing algebraic patterns in the power rule and "use…

In this study, we examine mathematicians' perspectives of the utility of software in mathematics and the teaching of mathematics. In particular, we report findings from a survey questioning 422 mathematicians with respect to their beliefs regarding the usefulness of software in mathematics research, teaching, and learning; recommended software…

This design case describes the development of the Invention Coach, an intelligent exploratory learning environment (ELE) for the constructivist activity of Invention. The Invention Coach scaffolds students as they invent mathematical formulas to describe contrasting cases. In this paper, we detail our process and rationale for three key design…

The teaching of primary school mathematics is greatly oriented towards the development of basic mathematical literacy and cognitive skills such as remembering, understanding and applying (according to Bloom's revised taxonomy). Nowadays, it is very important to implement teaching methods that are motivating for children and lead to more effective…

This paper examines the process of instrumental genesis through which students develop their proficiency in making use of movable points and slider bars--two tools that dynamic mathematics software provides for working with variable coordinates and parameters in the field of functions. The paper analyses students' responses to task sequences…

Course objectives, like research objectives and product requirements, help provide clarity and direction for faculty and students. Unfortunately, course and laboratory objectives are not always clearly stated. Without a clear set of objectives, it can be hard to design a learning experience and determine whether students are achieving the intended…