Though the necessity of mathematical learning at the primary, secondary, and tertiary schools is common knowledge, the question on how to teach mathematics is controversial. Certainly, the possibility of being involved in discovery is highly motivational to all, including students and mathematics teachers, at least. Since effective mathematics teachers are needed, action learning should be used promotionally at all levels of mathematics education, knowing that future instructors are amongst the current student population. Traditionally, classic results and open problems serve to motivate not only the students but also the educators themselves. The open problems of mathematics can often be introduced to students in primary, secondary, and tertiary education (Section 7). Naturally, primary-level instances are of foundational importance, and this is reinforced with secondary-level action learning (Sections 4.1.1 and 4.1.2). Action learning in mathematics education combined with rote theory brings mathematical topics to the real world. Students may joyfully experience formal mathematics education for twenty years or more, and they can be motivated everywhere across the expansive mathematics curricula. Also considered is integration of computer-assisted signature pedagogy (CASP) and nondigital technology as well as effective questioning with action learning (Sections 5 and 6). Arguments supporting the value of action learning for all individuals involved (at the college level, adding to the duo of student and mathematics instructor a third community or university nonmathematics professional) are presented (Sections 2– 4). To a certain extent, this paper promotes the idea of learning through practice in the context of mathematics education. To this end, this practice-led, conceptual paper, detailing the approach used by the authors to devise insights for practitioners of mathematics teaching, offers a survey of selected means for action learning across the formal mathematics education continuum. The main argument of the present paper is that in the context of mathematics education, action learning (the concept introduced in Section 3) is the very process to impart these experiences in conjunction with concept motivation (a term introduced in Section 2) when teaching mathematics across the entire K-20 curriculum. More recently, Billett, based on his studies of integrating learning experiences of tertiary students in the disciplines related to nursing and like services in support of human needs, suggested that “it might be possible to fully integrate practice-based experiences within the totality of higher education experiences that are generative of developing robust and critical occupational knowledge” (p. The genesis of this statement can be traced back to the writings of John Dewey, who emphasized the importance of educational activities that include “the development of artistic capacity of any kind, of special scientific ability, of effective citizenship, as well as professional and business occupations” (, p. Nowadays, students require both cognitive and practical experiences throughout the continua of their mathematics education to be productive 21st century citizens. The authors found pragmatic cause for action learning within mathematics education at virtually any point in student academic lives. This argument is supported by various examples that could be helpful in practice of school teachers and university instructors. The authors argue that the entire K-20 mathematics curriculum under a single umbrella is practicable when techniques of concept motivation and action learning are in place throughout that broad spectrum. Also, stimulating questions, computer analysis (internet search included), and classical famous problems are important motivating tools in mathematics, which are particularly beneficial in the framework of action learning. The paper shows that this approach in mathematics education based on action learning in conjunction with the natural motivation stemming from common sense is effective. It details the approach used by the authors to devise insights for practitioners of mathematics teaching. This is a practice-led, conceptual paper describing selected means for action learning and concept motivation at all levels of mathematics education.
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