Mathematics must be real, not just pseudo-real problems in a book. Reasoning and problem solving should be integrated in all teaching. Even when teaching basic skills, such as reading, writing, and math, higher level thinking skills such as reasoning, problem solving, and decision making should be incorporated into the lessons. Reading and mathematics become less abstract and more concrete when they are embedded in one or more of the higher level thinking skills. Learners must be provided with opportunities to work in groups.
Learners do learn from one another.
Learners need to interact with their peers in problem solving teams within the classroom environment. Adult learners need to work in group situations in order to learn to check reasoning and take advice and suggestions from others. In all adult basic education math settings, the development of critical thinking skills is crucial. Statements should be open to question, reaction, and elaboration from others. Mathematical communication is an overarching process which includes understanding, expressing, and conveying ideas mathematically in order to reflect on and clarify one's thinking, to make convincing arguments, and to reach decisions.