Basic calculation proficiency and mathematics achievement in elementary school children

The relation between skill in simple addition and subtraction and more general math achievement in elementary school is well established but not understood. Both the intrinsic importance of skill in simple calculation for math and the influence of conceptual knowledge and cognitive factors (working memory, processing speed, oral language) on simple calculation and math are plausible. The authors investigated the development of basic calculation fluency and its relations to math achievement and other factors by tracking a group of 259 United Kingdom English children from second to third grade. In both grades the group did not retrieve the solutions to most problems, but their math achievement was typical. Improvement in basic calculation proficiency was partially predicted by conceptual knowledge and cognitive factors. These factors only partially mediated the relation between basic calculation and math achievement. The relation between reading and math was wholly mediated by number measures and cognitive factors

The Impact of Curriculum-Based Examinations on Learning in Canadian Secondary Schools

Externally set curriculum-based examinations at the end of high school apparently have pervasive backwash effects on middle school students, their parents, teachers and school administrators. Holding the social class background of students constant, students from Canadian provinces with examination systems were substantially (23 percent of a standard deviation) better prepared in mathematics and 18 percent of a standard deviation better prepared in science than students from provinces lacking such exams. The effect of an exam system on mathematics achievement of 13 year olds is larger in a standard deviation metric than the decline in math SAT scores between 1969 and 1980 that has been such a focus of public concern. Other natural experiments yield similar findings. When adjustments are made for ethnicity, gender and social class of SAT test takers, New York State ranks higher on the SAT than any of the other 38 states where the test is taken by large numbers of students. The mathematics and science achievement of Swedish high school seniors declined in the years following the elimination of high/medium stakes curriculum-based exams. The analysis also found that examination systems had pervasive effects on school administrators, teachers and parents. In the provinces with external exams, schools were more likely to: -- employ specialist teachers of mathematics and science -- employ teachers who had studied the subject in college, -- have high quality science laboratories -- schedule extra hours of math and science instruction -- assign more homework in math, in science and in other subjects -- have students do or watch experiments in science class and -- schedule frequent tests in math and science class. At home students watch less TV, spend more time reading for fun, and are more likely to report their parents want them to do well in math and science. In addition, parents are more likely to talk to their child about what they are learning at school

Effects of Movement, Growth Mindset and Math Talks on Math Anxiety

Mathematical anxiety is prevalent in our schools. This research provides insight into how mathematical anxiety develops and how it affects students throughout their lives. This study focuses on the mathematical anxiety and mathematical self-concept of five second grade classes at an economically disadvantaged school in rural North Texas. The study looked to see if adding the interventions of movement, mathematical growth mindset and math talks to a classroom would improve the mathematical self-concept of the children in the classrooms which participated. The study contained three classrooms of students who participated in the interventions and two classrooms which were used as a control group. All five second grade classrooms completed a pre and post-intervention survey of mathematical self-concepts. The three main categories measured by the survey were math self-concept, comfort using different mathematical strategies and comfort level with discussing and using math concepts in front of peers. The children received mathematical movement lessons on Mondays, growth mindset journaling and discussions on Tuesdays and mental math number talks on Wednesdays. After the four-week study, the results showed an overall gain in positive responses for the three categories, which were measured for this study in the intervention group. The control group did not show as much of a positive gain as the intervention group did, and in some cases actually went down in positive responses

The Proficiency Illusion

Examines the tests states use to measure academic progress under the No Child Left Behind Act. Explores whether expectations for proficiency in reading and mathematics are consistent between states

Math empowerment: a multidisciplinary example to engage primary school students in learning mathematics

This paper describes an educational project conducted in a primary school in Italy (Scuola Primaria Alessandro Manzoni at Mulazzano, near to Milan). The school requested our collaboration to help improve upon the results achieved on the National Tests for Mathematics, in which students, aged 7, registered performances lower than the national average the past year. From January to June, 2016, we supported teachers, providing them with information, tools and methods to increase their pupils’ curiosity and passion for mathematics. Mixing our different experiences and competences (instructional design and gamification, information technologies and psychology) we have tried to provide a broader spectrum of parameters, tools and keys to understand how to achieve an inclusive approach that is ‘personalised’ to each student. This collaboration with teachers and students allowed us to draw interesting observations about learning styles, pointing out the negative impact that standardized processes and instruments can have on the self‐esteem and, consequently, on student performance. The goal of this programme was to find the right learning levers to intrigue and excite students in mathematical concepts and their applications. Our hypothesis is that, by considering the learning of mathematics as a continuous process, in which students develop freely through their own experiments, observations, involvement and curiosity, students can achieve improved results on the National Tests (INVALSI). This paper includes results of a survey conducted by children ‐’About Me and Mathematics‘

Mobile learning scenarios in language teaching: perceptions of vocational and professional education students

Mobile devices play a significant role in society, in general, and a very limited one at the different levels of education. Smartphones, tablets, and other mobile devices allows learning to occur anywhere, (and at) anytime. These powerful technological devices can enhance the teaching and learning processes by helping to promote collaborative and individual learning and broadening the boundaries of the classroom to different contexts of learning. Many students have mobile devices and their applications can provide access to learning outside the classroom, for greater flexibility and more dynamic learning. In this sense, the articulation of technological and methodological efforts allowed us to create learning scenarios supported by the devices that students take to the classroom (BYOD), and use them to motivate and involve students in meaningful learning. These devices offer the advantage of integrating various technologies in the curricular contents, such as in foreign and mother language courses, representing a set of possibilities of ubiquity that can have great impact on the learning process. Thus, we developed strategies with vocational and educational students’ methodologies, such as augmented reality, project-based learning, game-based learning, collaborative learning and gamification. In this text, we present the results of two mobile learning studies in teaching French as a foreign language (to 18-23 year-old-students) and Portuguese language, as a mother tongue (to 15-19 year-old-students), in vocational education, implemented as a mediation tool in education to promote the construction of learning and development of significant skills of collaborative work. From the data collection, through a questionnaire, with open and closed questions, we highlight the favorable perception of the students to the integration of mobile devices in learning, and the recognition of the benefits of the teaching strategies used throughout the year, in the increase of curricular learning.info:eu-repo/semantics/publishedVersio

Finnish pupils’ success in mathematics: factors that contribute to Finnish pupils’ success in mathematics

This report focuses on the factors that contribute positively to Finnish pupils’ success in mathematics and considers the implications for policy and practice in England. Includes examples of items from the PISA and TIMSS test

Different Methods of Embodied Cognition in Pedagogy and its Effectiveness in Student Learning

The Mathematical Ideas Analysis hypothesizes that abstract mathematical reasoning is unconsciously organized and integrated with sensory-motor experience. Basic research testing movement, language, and perception during math problem solving supports this hypothesis. Applied research primarily measures students’ performance on math tests after they engage in analogous sensory-motor tasks, but findings show mixed results. Sensory-motor tasks are dependent on several moderators (e.g., instructional guidance, developmental stage) known to help students learn, and studies vary in how each moderator is implemented. There is little research on the effectiveness of sensory-motor tasks without these moderators. This study compares different approaches to working with an interactive application designed to emulate how people intrinsically solve algebraic equations. A total of 130 participants (84 females, 54 males) were drawn from a pool of Introductory Psychology students attending San Jose State University. Participants were placed in three different learning environments, and their performance was measured by comparing improvement between a pre-test and a post-test. We found no difference between participants who worked alone with the application, were instructed by the experimenter while using the application, or who instructed the experimenter on how to solve equations using the application. Further research is needed to examine how and whether analogous sensory-motor interfaces are a useful learning tool, and if so, what circumstances are ideal for sensory-motor interfaces to be used