There are several studies related to learning on the field of education, but in the recent times, they have focused on examining how students think and how their thinking becomes more complicated in time. The conception of learning trajectories consisting of mathematical purpose, progressive improvements specific to the domain of child, appropriate activities for the different levels of these improvements has emerged in this review process. Various definitions of learning trajectories have been put forward by different researchers, and it has been observed that the trajectories are utilized in the processes of learning and teaching mathematics, and evaluating the subject learned. Therefore, the aim of this compilation study is primarily to introduce the conception of learning trajectories to national literature, to discuss this subject by using definitions of learning trajectories by various researchers, and to address the fields utilizing mathematics education briefly. It is suggested to conduct different studies at all levels about learning orbits.
Key words: learning trajectory, mathematics education, learning
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