This is a practice-led, conceptual paper describing selected means for action learning and concept motivation at all levels of mathematics education. It details the approach used by the authors to devise insights for practitioners of mathematics teaching. 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. 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 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. This argument is supported by various examples that could be helpful in practice of school teachers and university instructors. The authors found pragmatic cause for action learning within mathematics education at virtually any point in student academic lives.

Of the many varieties of truth, mathematical truth does not stand the lowest." --Norbert WienerThe applied mathematician is very fortunate because she/ he has access to a vast treasury of pure mathematical results to use. In fact the problem often faced by the applied mathematician is to catch the right tool at the right time. On the other hand, applied mathematicians repay their debt by formulating problems which puzzle and dazzle pure mathematicians and frequently lead to intriguing and difficult mathematical problems. We selected the diesel fuel spray problem as a sample of this two-way relationship for two important reasons. The first is that it has the right mix of pure and applied ideas. The second reason is that this is something we can write about. We shall formulate a purely mathematical problem that arose from our analysis of a diesel fuel spray model. Diesel Fuel Spray: an Idealized ModelFuel spray (Figure 1) is an important feature of Diesel Engine~Fuel Injection Equipment systems. Ideally we would like to describe a given system analytically. This might allow us to solve the diesel optimization problem-the dream of every diesel engineer. Unfortunately, the physical and chemical aspects of the question are very complex and are not quite understood. Some researchers use empirical equations to overcome these difficulties. The

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