Martha tells the company for which she has been working for the last 25 years that she plans to retire on march 15. according to robert atchley's analysis of retirement, martha is in which phase?

According to Robert Atchley's analysis, Martha in the pre-retirement phase. She’s making plans, announcing her intentions to retire and even exited to end her career.

Explanation:

Robert Atchley's analysis refers that there are six stages of retirement:

a) early retirement

b) Retirement

c) Disenchantment

d) Reorientation

e) Retreat Routine

f) Termination of retirement (death)

The continuity theory of normal aging, in which Robert Atchley's analysis is based, sustain that elderly will maintain must of their habitual activities, behaviors and relationships as they used to in their younger phases, this is in many cases achieve by using coping strategies that allow them to connect to their past experiences,  

Maddox (1968) elaborated an empirical dissertation of the theory in his book Middle Age and Aging: A Reader in Social Psychology called "Persistence of life style among the elderly: A longitudinal study of patterns of social activity in relation to life satisfaction".  

The continuity theory was formerly proposed in 1971 by Robert Atchley in his article "Retirement and Leisure Participation: Continuity or Crisis?" in the journal The Gerontologist. Later, in 1989, he published another article entitled "A Continuity Theory of Normal Aging, in The Gerontologist in which he substantially developed the theory.  

Reference:  

Atchley R. C. (1971). "Retirement and leisure participation: Continuity or crisis?". The Gerontologist. 11 (1): 13–17.  

Maddox, G. L. (1968). "Persistence of life style among the elderly: A longitudinal study of patterns of social activity in relation to life satisfaction". In B. L. Neugarten (ed.). Middle Age and Aging: A Reader in Social Psychology. Chicago: University of Chicago Press. pp. 181–183.

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