Spanish educational curriculum adopts a mathematical process-based approach, which encompasses problem solving, reasoning and proof, communication, connections and representation. A fundamental role in the integration of these processes in mathematics teaching is played by teachers' professional practice of designing tasks. According to this, our…

This essay argues that emphasizing "college and career-readiness" as the major goal of public education is too narrow a purpose for education. College and career readiness, if pursued exclusively, may deprive students of the problem-solving skills they need to live well-adjusted, flourishing lives. The purposes of education that were…

If we admit that students must be prepared for life and work in increasingly culturally-diverse and ever changing contexts through core curricula which are the competences that must be prioritized? What competences are 'strong candidates' to be considered as trans-regional and can lead to inclusive excellence in higher education? Does, this,…

Continually increasing demands are being placed on the educational system to prepare students with technical skills due to the exponential implementation of information, technology and automation in the workforce. Students should work with design, problemsolving and computational methods and tools early on in their school lives in basic education…

The twenty-first century hosts a well-established global economy, where leaders are required to have increasingly complex skills that include creativity, innovation, vision, relatability, critical thinking and well-honed communications methods. The experience gained by learning to be visually literate includes the ability to see, observe, analyze,…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) define what children should understand and be able to do in K-grade 12. This document also includes a description of key mathematical processes and proficiencies, the Standards for Mathematical Practice (SMPs), which provide an important overview for the kind of robust thinking…

To develop second-grade students' confidence and ease, this author presents examples of learning tasks (Number of the Day, Word Problem Solving, and Modeling New Mathematical Ideas) that align with Common Core State Standards for Mathematics and that build mathematical fluency to promote students' creative expression of mathematical…

It has been well-documented that many students do not understand the meaning of the equal sign. Thus, researchers have called for instruction that specifically addresses misconceptions about the equal sign, and have indicated that such work must start at the elementary level. In response to these recommendations, some state curriculums require…

There are a variety of technologies that are increasingly being integrated into mathematics classrooms for their potential to increase student engagement, motivation, understanding, and achievement. YouTube can be an especially useful technology for students to create, share and interact with others, and learn more about mathematics. However, the…

The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

The Common Core raises the bar for states struggling to decide what should be taught or tested. As low-performing schools strive to improve instruction, the blueprint has been defined. The Common Core defines the curriculum in enough detail and specifies ways to teach that content creatively and innovatively, to produce graduates who are problem…

"When making mathematical models, technology is valuable for varying assumptions, exploring consequences, and comparing predictions with data," notes the Common Core State Standards Initiative (2010, p. 72). This exploration of the recursive process in the Devil and Daniel Webster problem reveals that the symbolic spreadsheet fits this bill.…

Providing standards-based instruction in core content areas for individuals with moderate and severe disabilities is a hot topic in the field of special education, and teachers struggle to find the best methods for providing high-quality standards-based instruction in core content areas that also has personal relevance for the students. This…

Math Teachers' Circles have been spreading since their emergence in 2006. These professional development programs, aimed primarily at middle-level mathematics teachers (grades 5-9), focus on developing teachers' mathematical problem solving skills, in line with the Common Core State Standards-Standards of Mathematical Practice. Yet, to date,…

Math achievement in elementary school is mediated by performance and growth in number sense during kindergarten. The aim of the present study was to test the effectiveness of a targeted small-group number sense intervention for high-risk kindergartners from low-income communities. Children were randomly assigned to 1 of 3 groups (n = 44 in each…