
"On the reproducibility of microcosm experiments – different community composition in parallel phototrophic biofilm microcosms". The ancient Greek idea of a world soul (e.g., in Plato) animating the universe had as a corollary the idea of the human body as a miniature universe animated by its own soul. Roeselers, Guus Zippel, Barbara Staal, Marc Van Loosdrecht, Mark Muyzer, Gerard (2006). microcosm, (from Greek mikros kosmos, little world), a Western philosophical term designating man as being a little world in which the macrocosm, or universe, is reflected.

Ecological Engineering: An Introduction to Ecotechnology. "Ecological engineering and self-organization". "Diversity peaks at intermediate productivity in a laboratory microcosm".

In: Grouws DA (ed) Handbook of research on mathematics teaching and learning. Problem solving, metacognition and sense-making in mathematics. Schoenfeld AH (1992) Learning to think mathematically. In: Voss JF, Perkins DN, Segal JW (eds) Informal reasoning and education. Schoenfeld AH (1991) On mathematics as sense-making: an informal attack on the unfortunate divorce of formal and informal mathematics. Models and modeling perspectives on mathematical problem solving, learning and teaching. Lesh R, Doerr HM (eds) (2003) Beyond constructivism. In: Light P, Butterworth G (eds) Context and cognition: ways of learning and knowing. Lave J (1992) Word problems: a microcosm of theories of learning. Goldin GA, McClintock E (eds) (1984) Task variables in mathematical problem solving. Macmillan, New York, Chapter 16įuson KC (1992) Research on whole number addition and subtraction. In: Berliner D, Calfee R (eds) Handbook of educational psychology. J Res Math Educ 15:179–202ĭe Corte E, Greer B, Verschaffel L (1996) Mathematics teaching and learning. Educ Stud Math 22:37–68Ĭarpenter TP, Moser JM (1984) The acquisition of addition and subtraction concepts in grades one through three. Keywordsīlum W, Niss M (1991) Applied mathematical problem solving, modeling, applications, and links to other subjects: state, trends and issues in mathematics instruction. Importantly, the term “word problem” does not necessarily imply that every task that meets the above definition represents a true problem, in the cognitive-psychological sense of the word, for a given student, i.e., a task for which no routine method of solution is available and which therefore requires the activation of.

As such they differ both from bare sums presented in written (e.g., 4 + 5 = ? 5x + 2 = 22) or oral form (e.g., How much is 40 divided by 5? What is the mean of the numbers 12, 17, 17, 18?), as well as from quantitative problems encountered in real life (e.g., Which type of loan should we take? Can I drive home from here without filling the tank?). Word problems are typically defined as verbal descriptions of problem situations wherein one or more questions are raised the answer to which can be obtained by the application of mathematical operations to numerical data available in the problem statement (Verschaffel et al.
